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Finding the Fourth Proportional to 10,639.07, 15,965.89 and 3,713.57

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Solution

The fourth proportional to 10,639.07, 15,965.89 and 3,713.57 is: 5,572.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,639.07 : 15,965.89 = 3,713.57 : x
  2. Step 2: Convert to fraction form
    10,639.07/15,965.89 = 3,713.57/x
  3. Step 3: Cross multiply
    10,639.07x = 15,965.89 × 3,713.57
  4. Step 4: Simplify right side
    10,639.07x = 59,290,351.73
  5. Step 5: Solve for x
    x = 59,290,351.73/10,639.07
  6. Step 6: Final answer
    x = 5,572.89

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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.