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Finding the Fourth Proportional to 10,428.29, 15,639.12 and 3,406.70

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Solution

The fourth proportional to 10,428.29, 15,639.12 and 3,406.70 is: 5,108.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.29 : 15,639.12 = 3,406.70 : x
  2. Step 2: Convert to fraction form
    10,428.29/15,639.12 = 3,406.70/x
  3. Step 3: Cross multiply
    10,428.29x = 15,639.12 × 3,406.70
  4. Step 4: Simplify right side
    10,428.29x = 53,277,829.20
  5. Step 5: Solve for x
    x = 53,277,829.20/10,428.29
  6. Step 6: Final answer
    x = 5,108.97

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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.