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Finding the Fourth Proportional to 10,459.28, 15,689.16 and 2,668.16

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Solution

The fourth proportional to 10,459.28, 15,689.16 and 2,668.16 is: 4,002.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.28 : 15,689.16 = 2,668.16 : x
  2. Step 2: Convert to fraction form
    10,459.28/15,689.16 = 2,668.16/x
  3. Step 3: Cross multiply
    10,459.28x = 15,689.16 × 2,668.16
  4. Step 4: Simplify right side
    10,459.28x = 41,861,189.15
  5. Step 5: Solve for x
    x = 41,861,189.15/10,459.28
  6. Step 6: Final answer
    x = 4,002.30

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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.