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Finding the Fourth Proportional to 7,761.61, 11,637.87 and 3,077.79

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Solution

The fourth proportional to 7,761.61, 11,637.87 and 3,077.79 is: 4,614.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.61 : 11,637.87 = 3,077.79 : x
  2. Step 2: Convert to fraction form
    7,761.61/11,637.87 = 3,077.79/x
  3. Step 3: Cross multiply
    7,761.61x = 11,637.87 × 3,077.79
  4. Step 4: Simplify right side
    7,761.61x = 35,818,919.91
  5. Step 5: Solve for x
    x = 35,818,919.91/7,761.61
  6. Step 6: Final answer
    x = 4,614.88

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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.