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Finding the Fourth Proportional to 8,435.92, 12,649.94 and 4,926.94

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Solution

The fourth proportional to 8,435.92, 12,649.94 and 4,926.94 is: 7,388.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.92 : 12,649.94 = 4,926.94 : x
  2. Step 2: Convert to fraction form
    8,435.92/12,649.94 = 4,926.94/x
  3. Step 3: Cross multiply
    8,435.92x = 12,649.94 × 4,926.94
  4. Step 4: Simplify right side
    8,435.92x = 62,325,495.38
  5. Step 5: Solve for x
    x = 62,325,495.38/8,435.92
  6. Step 6: Final answer
    x = 7,388.11

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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.