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Finding the Fourth Proportional to 12,761.85, 19,149.28 and 5,740.47

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Solution

The fourth proportional to 12,761.85, 19,149.28 and 5,740.47 is: 8,613.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.85 : 19,149.28 = 5,740.47 : x
  2. Step 2: Convert to fraction form
    12,761.85/19,149.28 = 5,740.47/x
  3. Step 3: Cross multiply
    12,761.85x = 19,149.28 × 5,740.47
  4. Step 4: Simplify right side
    12,761.85x = 109,925,853.01
  5. Step 5: Solve for x
    x = 109,925,853.01/12,761.85
  6. Step 6: Final answer
    x = 8,613.63

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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.