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Finding the Fourth Proportional to 8,023.71, 12,031.14 and 2,475.51

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Solution

The fourth proportional to 8,023.71, 12,031.14 and 2,475.51 is: 3,711.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,023.71 : 12,031.14 = 2,475.51 : x
  2. Step 2: Convert to fraction form
    8,023.71/12,031.14 = 2,475.51/x
  3. Step 3: Cross multiply
    8,023.71x = 12,031.14 × 2,475.51
  4. Step 4: Simplify right side
    8,023.71x = 29,783,207.38
  5. Step 5: Solve for x
    x = 29,783,207.38/8,023.71
  6. Step 6: Final answer
    x = 3,711.90

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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.