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Finding the Fourth Proportional to 10,288.42, 15,453.13 and 9,708.16

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Solution

The fourth proportional to 10,288.42, 15,453.13 and 9,708.16 is: 14,581.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288.42 : 15,453.13 = 9,708.16 : x
  2. Step 2: Convert to fraction form
    10,288.42/15,453.13 = 9,708.16/x
  3. Step 3: Cross multiply
    10,288.42x = 15,453.13 × 9,708.16
  4. Step 4: Simplify right side
    10,288.42x = 150,021,381.28
  5. Step 5: Solve for x
    x = 150,021,381.28/10,288.42
  6. Step 6: Final answer
    x = 14,581.58

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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.