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Finding the Fourth Proportional to 11,842.20, 16,344.72 and 7,129.08

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Solution

The fourth proportional to 11,842.20, 16,344.72 and 7,129.08 is: 9,839.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.20 : 16,344.72 = 7,129.08 : x
  2. Step 2: Convert to fraction form
    11,842.20/16,344.72 = 7,129.08/x
  3. Step 3: Cross multiply
    11,842.20x = 16,344.72 × 7,129.08
  4. Step 4: Simplify right side
    11,842.20x = 116,522,816.46
  5. Step 5: Solve for x
    x = 116,522,816.46/11,842.20
  6. Step 6: Final answer
    x = 9,839.63

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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.