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Finding the Fourth Proportional to 10,902.16, 15,043.92 and 6,186.40

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Solution

The fourth proportional to 10,902.16, 15,043.92 and 6,186.40 is: 8,536.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.16 : 15,043.92 = 6,186.40 : x
  2. Step 2: Convert to fraction form
    10,902.16/15,043.92 = 6,186.40/x
  3. Step 3: Cross multiply
    10,902.16x = 15,043.92 × 6,186.40
  4. Step 4: Simplify right side
    10,902.16x = 93,067,706.69
  5. Step 5: Solve for x
    x = 93,067,706.69/10,902.16
  6. Step 6: Final answer
    x = 8,536.63

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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.