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Finding the Fourth Proportional to 10,475.68, 15,711.52 and 3,080.48

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Solution

The fourth proportional to 10,475.68, 15,711.52 and 3,080.48 is: 4,620.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.68 : 15,711.52 = 3,080.48 : x
  2. Step 2: Convert to fraction form
    10,475.68/15,711.52 = 3,080.48/x
  3. Step 3: Cross multiply
    10,475.68x = 15,711.52 × 3,080.48
  4. Step 4: Simplify right side
    10,475.68x = 48,399,023.13
  5. Step 5: Solve for x
    x = 48,399,023.13/10,475.68
  6. Step 6: Final answer
    x = 4,620.13

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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.