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Finding the Fourth Proportional to 10,489.40, 15,740.26 and 3,916.10

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Solution

The fourth proportional to 10,489.40, 15,740.26 and 3,916.10 is: 5,876.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.40 : 15,740.26 = 3,916.10 : x
  2. Step 2: Convert to fraction form
    10,489.40/15,740.26 = 3,916.10/x
  3. Step 3: Cross multiply
    10,489.40x = 15,740.26 × 3,916.10
  4. Step 4: Simplify right side
    10,489.40x = 61,640,333.90
  5. Step 5: Solve for x
    x = 61,640,333.90/10,489.40
  6. Step 6: Final answer
    x = 5,876.44

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