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Finding the Fourth Proportional to 11,656.19, 16,080.41 and 7,877.97

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Solution

The fourth proportional to 11,656.19, 16,080.41 and 7,877.97 is: 10,868.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.19 : 16,080.41 = 7,877.97 : x
  2. Step 2: Convert to fraction form
    11,656.19/16,080.41 = 7,877.97/x
  3. Step 3: Cross multiply
    11,656.19x = 16,080.41 × 7,877.97
  4. Step 4: Simplify right side
    11,656.19x = 126,681,007.26
  5. Step 5: Solve for x
    x = 126,681,007.26/11,656.19
  6. Step 6: Final answer
    x = 10,868.13

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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.