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Finding the Fourth Proportional to 8,023.70, 12,034.98 and 2,476.46

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Solution

The fourth proportional to 8,023.70, 12,034.98 and 2,476.46 is: 3,714.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,023.70 : 12,034.98 = 2,476.46 : x
  2. Step 2: Convert to fraction form
    8,023.70/12,034.98 = 2,476.46/x
  3. Step 3: Cross multiply
    8,023.70x = 12,034.98 × 2,476.46
  4. Step 4: Simplify right side
    8,023.70x = 29,804,086.40
  5. Step 5: Solve for x
    x = 29,804,086.40/8,023.70
  6. Step 6: Final answer
    x = 3,714.51

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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.