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Finding the Fourth Proportional to 11,685.60, 17,537.72 and 6,142.20

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Solution

The fourth proportional to 11,685.60, 17,537.72 and 6,142.20 is: 9,218.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,685.60 : 17,537.72 = 6,142.20 : x
  2. Step 2: Convert to fraction form
    11,685.60/17,537.72 = 6,142.20/x
  3. Step 3: Cross multiply
    11,685.60x = 17,537.72 × 6,142.20
  4. Step 4: Simplify right side
    11,685.60x = 107,720,087.31
  5. Step 5: Solve for x
    x = 107,720,087.31/11,685.60
  6. Step 6: Final answer
    x = 9,218.19

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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.