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Finding the Fourth Proportional to 11,882.66, 16,395.86 and 7,634.48

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Solution

The fourth proportional to 11,882.66, 16,395.86 and 7,634.48 is: 10,534.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.66 : 16,395.86 = 7,634.48 : x
  2. Step 2: Convert to fraction form
    11,882.66/16,395.86 = 7,634.48/x
  3. Step 3: Cross multiply
    11,882.66x = 16,395.86 × 7,634.48
  4. Step 4: Simplify right side
    11,882.66x = 125,173,865.25
  5. Step 5: Solve for x
    x = 125,173,865.25/11,882.66
  6. Step 6: Final answer
    x = 10,534.16

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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.