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Finding the Fourth Proportional to 11,723.52, 16,175.25 and 7,534.20

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Solution

The fourth proportional to 11,723.52, 16,175.25 and 7,534.20 is: 10,395.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,723.52 : 16,175.25 = 7,534.20 : x
  2. Step 2: Convert to fraction form
    11,723.52/16,175.25 = 7,534.20/x
  3. Step 3: Cross multiply
    11,723.52x = 16,175.25 × 7,534.20
  4. Step 4: Simplify right side
    11,723.52x = 121,867,568.55
  5. Step 5: Solve for x
    x = 121,867,568.55/11,723.52
  6. Step 6: Final answer
    x = 10,395.13

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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.