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Finding the Fourth Proportional to 10,038.29, 15,059.82 and 3,464.53

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Solution

The fourth proportional to 10,038.29, 15,059.82 and 3,464.53 is: 5,197.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.29 : 15,059.82 = 3,464.53 : x
  2. Step 2: Convert to fraction form
    10,038.29/15,059.82 = 3,464.53/x
  3. Step 3: Cross multiply
    10,038.29x = 15,059.82 × 3,464.53
  4. Step 4: Simplify right side
    10,038.29x = 52,175,160.54
  5. Step 5: Solve for x
    x = 52,175,160.54/10,038.29
  6. Step 6: Final answer
    x = 5,197.62

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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.