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Finding the Fourth Proportional to 8,046.43, 12,071.01 and 2,498.74

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Solution

The fourth proportional to 8,046.43, 12,071.01 and 2,498.74 is: 3,748.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046.43 : 12,071.01 = 2,498.74 : x
  2. Step 2: Convert to fraction form
    8,046.43/12,071.01 = 2,498.74/x
  3. Step 3: Cross multiply
    8,046.43x = 12,071.01 × 2,498.74
  4. Step 4: Simplify right side
    8,046.43x = 30,162,315.53
  5. Step 5: Solve for x
    x = 30,162,315.53/8,046.43
  6. Step 6: Final answer
    x = 3,748.53

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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.