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Finding the Fourth Proportional to 10,591, 15,939.72 and 7,972.08

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Solution

The fourth proportional to 10,591, 15,939.72 and 7,972.08 is: 11,998.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591 : 15,939.72 = 7,972.08 : x
  2. Step 2: Convert to fraction form
    10,591/15,939.72 = 7,972.08/x
  3. Step 3: Cross multiply
    10,591x = 15,939.72 × 7,972.08
  4. Step 4: Simplify right side
    10,591x = 127,072,723.02
  5. Step 5: Solve for x
    x = 127,072,723.02/10,591
  6. Step 6: Final answer
    x = 11,998.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.