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Finding the Fourth Proportional to 8,442.62, 12,650.06 and 2,892.94

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Solution

The fourth proportional to 8,442.62, 12,650.06 and 2,892.94 is: 4,334.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.62 : 12,650.06 = 2,892.94 : x
  2. Step 2: Convert to fraction form
    8,442.62/12,650.06 = 2,892.94/x
  3. Step 3: Cross multiply
    8,442.62x = 12,650.06 × 2,892.94
  4. Step 4: Simplify right side
    8,442.62x = 36,595,864.58
  5. Step 5: Solve for x
    x = 36,595,864.58/8,442.62
  6. Step 6: Final answer
    x = 4,334.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.