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Finding the Fourth Proportional to 10,517.16, 15,758.36 and 9,431.86

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Solution

The fourth proportional to 10,517.16, 15,758.36 and 9,431.86 is: 14,132.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,517.16 : 15,758.36 = 9,431.86 : x
  2. Step 2: Convert to fraction form
    10,517.16/15,758.36 = 9,431.86/x
  3. Step 3: Cross multiply
    10,517.16x = 15,758.36 × 9,431.86
  4. Step 4: Simplify right side
    10,517.16x = 148,630,720.08
  5. Step 5: Solve for x
    x = 148,630,720.08/10,517.16
  6. Step 6: Final answer
    x = 14,132.21

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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.