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Finding the Fourth Proportional to 11,586.92, 15,983.46 and 7,387.88

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Solution

The fourth proportional to 11,586.92, 15,983.46 and 7,387.88 is: 10,191.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.92 : 15,983.46 = 7,387.88 : x
  2. Step 2: Convert to fraction form
    11,586.92/15,983.46 = 7,387.88/x
  3. Step 3: Cross multiply
    11,586.92x = 15,983.46 × 7,387.88
  4. Step 4: Simplify right side
    11,586.92x = 118,083,884.46
  5. Step 5: Solve for x
    x = 118,083,884.46/11,586.92
  6. Step 6: Final answer
    x = 10,191.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.