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Finding the Fourth Proportional to 10,705.52, 14,773.66 and 5,989.80

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Solution

The fourth proportional to 10,705.52, 14,773.66 and 5,989.80 is: 8,265.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.52 : 14,773.66 = 5,989.80 : x
  2. Step 2: Convert to fraction form
    10,705.52/14,773.66 = 5,989.80/x
  3. Step 3: Cross multiply
    10,705.52x = 14,773.66 × 5,989.80
  4. Step 4: Simplify right side
    10,705.52x = 88,491,268.67
  5. Step 5: Solve for x
    x = 88,491,268.67/10,705.52
  6. Step 6: Final answer
    x = 8,265.95

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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.