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Finding the Fourth Proportional to 10,665.38, 15,991.22 and 4,429.70

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Solution

The fourth proportional to 10,665.38, 15,991.22 and 4,429.70 is: 6,641.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.38 : 15,991.22 = 4,429.70 : x
  2. Step 2: Convert to fraction form
    10,665.38/15,991.22 = 4,429.70/x
  3. Step 3: Cross multiply
    10,665.38x = 15,991.22 × 4,429.70
  4. Step 4: Simplify right side
    10,665.38x = 70,836,227.28
  5. Step 5: Solve for x
    x = 70,836,227.28/10,665.38
  6. Step 6: Final answer
    x = 6,641.70

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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.