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Finding the Fourth Proportional to 10,012.64, 15,002.76 and 6,105.20

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Solution

The fourth proportional to 10,012.64, 15,002.76 and 6,105.20 is: 9,147.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.64 : 15,002.76 = 6,105.20 : x
  2. Step 2: Convert to fraction form
    10,012.64/15,002.76 = 6,105.20/x
  3. Step 3: Cross multiply
    10,012.64x = 15,002.76 × 6,105.20
  4. Step 4: Simplify right side
    10,012.64x = 91,594,850.35
  5. Step 5: Solve for x
    x = 91,594,850.35/10,012.64
  6. Step 6: Final answer
    x = 9,147.92

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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.