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Finding the Fourth Proportional to 7,757.34, 11,641.65 and 5,814.78

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Solution

The fourth proportional to 7,757.34, 11,641.65 and 5,814.78 is: 8,726.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.34 : 11,641.65 = 5,814.78 : x
  2. Step 2: Convert to fraction form
    7,757.34/11,641.65 = 5,814.78/x
  3. Step 3: Cross multiply
    7,757.34x = 11,641.65 × 5,814.78
  4. Step 4: Simplify right side
    7,757.34x = 67,693,633.59
  5. Step 5: Solve for x
    x = 67,693,633.59/7,757.34
  6. Step 6: Final answer
    x = 8,726.40

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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.