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Finding the Fourth Proportional to 8,023.29, 12,034.14 and 2,475.13

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Solution

The fourth proportional to 8,023.29, 12,034.14 and 2,475.13 is: 3,712.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,023.29 : 12,034.14 = 2,475.13 : x
  2. Step 2: Convert to fraction form
    8,023.29/12,034.14 = 2,475.13/x
  3. Step 3: Cross multiply
    8,023.29x = 12,034.14 × 2,475.13
  4. Step 4: Simplify right side
    8,023.29x = 29,786,060.94
  5. Step 5: Solve for x
    x = 29,786,060.94/8,023.29
  6. Step 6: Final answer
    x = 3,712.45

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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.