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Finding the Fourth Proportional to 8,355.48, 11,516.13 and 7,286.58

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Solution

The fourth proportional to 8,355.48, 11,516.13 and 7,286.58 is: 10,042.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,355.48 : 11,516.13 = 7,286.58 : x
  2. Step 2: Convert to fraction form
    8,355.48/11,516.13 = 7,286.58/x
  3. Step 3: Cross multiply
    8,355.48x = 11,516.13 × 7,286.58
  4. Step 4: Simplify right side
    8,355.48x = 83,913,202.54
  5. Step 5: Solve for x
    x = 83,913,202.54/8,355.48
  6. Step 6: Final answer
    x = 10,042.89

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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.