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Finding the Fourth Proportional to 11,343.82, 15,654.81 and 6,868.39

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Solution

The fourth proportional to 11,343.82, 15,654.81 and 6,868.39 is: 9,478.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,343.82 : 15,654.81 = 6,868.39 : x
  2. Step 2: Convert to fraction form
    11,343.82/15,654.81 = 6,868.39/x
  3. Step 3: Cross multiply
    11,343.82x = 15,654.81 × 6,868.39
  4. Step 4: Simplify right side
    11,343.82x = 107,523,340.46
  5. Step 5: Solve for x
    x = 107,523,340.46/11,343.82
  6. Step 6: Final answer
    x = 9,478.58

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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.