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Finding the Fourth Proportional to 10,049.26, 15,086.19 and 9,652.87

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Solution

The fourth proportional to 10,049.26, 15,086.19 and 9,652.87 is: 14,491.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.26 : 15,086.19 = 9,652.87 : x
  2. Step 2: Convert to fraction form
    10,049.26/15,086.19 = 9,652.87/x
  3. Step 3: Cross multiply
    10,049.26x = 15,086.19 × 9,652.87
  4. Step 4: Simplify right side
    10,049.26x = 145,624,955.43
  5. Step 5: Solve for x
    x = 145,624,955.43/10,049.26
  6. Step 6: Final answer
    x = 14,491.11

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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.