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Finding the Fourth Proportional to 11,876.96, 16,361.66 and 9,988.58

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Solution

The fourth proportional to 11,876.96, 16,361.66 and 9,988.58 is: 13,760.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876.96 : 16,361.66 = 9,988.58 : x
  2. Step 2: Convert to fraction form
    11,876.96/16,361.66 = 9,988.58/x
  3. Step 3: Cross multiply
    11,876.96x = 16,361.66 × 9,988.58
  4. Step 4: Simplify right side
    11,876.96x = 163,429,815.72
  5. Step 5: Solve for x
    x = 163,429,815.72/11,876.96
  6. Step 6: Final answer
    x = 13,760.24

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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.