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Finding the Fourth Proportional to 10,764.59, 14,854.29 and 5,984.24

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Solution

The fourth proportional to 10,764.59, 14,854.29 and 5,984.24 is: 8,257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,764.59 : 14,854.29 = 5,984.24 : x
  2. Step 2: Convert to fraction form
    10,764.59/14,854.29 = 5,984.24/x
  3. Step 3: Cross multiply
    10,764.59x = 14,854.29 × 5,984.24
  4. Step 4: Simplify right side
    10,764.59x = 88,891,621.61
  5. Step 5: Solve for x
    x = 88,891,621.61/10,764.59
  6. Step 6: Final answer
    x = 8,257.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.