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Finding the Fourth Proportional to 10,645.91, 15,972.50 and 4,073.97

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Solution

The fourth proportional to 10,645.91, 15,972.50 and 4,073.97 is: 6,112.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,645.91 : 15,972.50 = 4,073.97 : x
  2. Step 2: Convert to fraction form
    10,645.91/15,972.50 = 4,073.97/x
  3. Step 3: Cross multiply
    10,645.91x = 15,972.50 × 4,073.97
  4. Step 4: Simplify right side
    10,645.91x = 65,071,465.46
  5. Step 5: Solve for x
    x = 65,071,465.46/10,645.91
  6. Step 6: Final answer
    x = 6,112.35

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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.