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Finding the Fourth Proportional to 10,805.13, 16,207.53 and 6,589.62

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Solution

The fourth proportional to 10,805.13, 16,207.53 and 6,589.62 is: 9,884.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.13 : 16,207.53 = 6,589.62 : x
  2. Step 2: Convert to fraction form
    10,805.13/16,207.53 = 6,589.62/x
  3. Step 3: Cross multiply
    10,805.13x = 16,207.53 × 6,589.62
  4. Step 4: Simplify right side
    10,805.13x = 106,801,463.84
  5. Step 5: Solve for x
    x = 106,801,463.84/10,805.13
  6. Step 6: Final answer
    x = 9,884.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.