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Finding the Fourth Proportional to 10,705.89, 14,773.71 and 5,990.17

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Solution

The fourth proportional to 10,705.89, 14,773.71 and 5,990.17 is: 8,266.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.89 : 14,773.71 = 5,990.17 : x
  2. Step 2: Convert to fraction form
    10,705.89/14,773.71 = 5,990.17/x
  3. Step 3: Cross multiply
    10,705.89x = 14,773.71 × 5,990.17
  4. Step 4: Simplify right side
    10,705.89x = 88,497,034.43
  5. Step 5: Solve for x
    x = 88,497,034.43/10,705.89
  6. Step 6: Final answer
    x = 8,266.20

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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.