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Finding the Fourth Proportional to 8,457,874.62, 11,671,978.95 and 4,590,442.14

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Solution

The fourth proportional to 8,457,874.62, 11,671,978.95 and 4,590,442.14 is: 6,334,870.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457,874.62 : 11,671,978.95 = 4,590,442.14 : x
  2. Step 2: Convert to fraction form
    8,457,874.62/11,671,978.95 = 4,590,442.14/x
  3. Step 3: Cross multiply
    8,457,874.62x = 11,671,978.95 × 4,590,442.14
  4. Step 4: Simplify right side
    8,457,874.62x = 53,579,544,029,272.95
  5. Step 5: Solve for x
    x = 53,579,544,029,272.95/8,457,874.62
  6. Step 6: Final answer
    x = 6,334,870.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.