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Finding the Fourth Proportional to 11,878.60, 16,387.30 and 7,160.16

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Solution

The fourth proportional to 11,878.60, 16,387.30 and 7,160.16 is: 9,877.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,878.60 : 16,387.30 = 7,160.16 : x
  2. Step 2: Convert to fraction form
    11,878.60/16,387.30 = 7,160.16/x
  3. Step 3: Cross multiply
    11,878.60x = 16,387.30 × 7,160.16
  4. Step 4: Simplify right side
    11,878.60x = 117,335,689.97
  5. Step 5: Solve for x
    x = 117,335,689.97/11,878.60
  6. Step 6: Final answer
    x = 9,877.91

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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.