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Finding the Fourth Proportional to 10,281.53, 14,186.98 and 5,805.18

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Solution

The fourth proportional to 10,281.53, 14,186.98 and 5,805.18 is: 8,010.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281.53 : 14,186.98 = 5,805.18 : x
  2. Step 2: Convert to fraction form
    10,281.53/14,186.98 = 5,805.18/x
  3. Step 3: Cross multiply
    10,281.53x = 14,186.98 × 5,805.18
  4. Step 4: Simplify right side
    10,281.53x = 82,357,972.56
  5. Step 5: Solve for x
    x = 82,357,972.56/10,281.53
  6. Step 6: Final answer
    x = 8,010.29

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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.