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Finding the Fourth Proportional to 10,281.80, 14,188.82 and 5,805.53

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Solution

The fourth proportional to 10,281.80, 14,188.82 and 5,805.53 is: 8,011.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281.80 : 14,188.82 = 5,805.53 : x
  2. Step 2: Convert to fraction form
    10,281.80/14,188.82 = 5,805.53/x
  3. Step 3: Cross multiply
    10,281.80x = 14,188.82 × 5,805.53
  4. Step 4: Simplify right side
    10,281.80x = 82,373,520.20
  5. Step 5: Solve for x
    x = 82,373,520.20/10,281.80
  6. Step 6: Final answer
    x = 8,011.59

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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.