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Finding the Fourth Proportional to 8,125.28, 12,193.68 and 2,931.20

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Solution

The fourth proportional to 8,125.28, 12,193.68 and 2,931.20 is: 4,398.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125.28 : 12,193.68 = 2,931.20 : x
  2. Step 2: Convert to fraction form
    8,125.28/12,193.68 = 2,931.20/x
  3. Step 3: Cross multiply
    8,125.28x = 12,193.68 × 2,931.20
  4. Step 4: Simplify right side
    8,125.28x = 35,742,114.82
  5. Step 5: Solve for x
    x = 35,742,114.82/8,125.28
  6. Step 6: Final answer
    x = 4,398.88

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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.