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Finding the Fourth Proportional to 8,338.67, 11,502.81 and 5,354.96

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Solution

The fourth proportional to 8,338.67, 11,502.81 and 5,354.96 is: 7,386.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,338.67 : 11,502.81 = 5,354.96 : x
  2. Step 2: Convert to fraction form
    8,338.67/11,502.81 = 5,354.96/x
  3. Step 3: Cross multiply
    8,338.67x = 11,502.81 × 5,354.96
  4. Step 4: Simplify right side
    8,338.67x = 61,597,029.92
  5. Step 5: Solve for x
    x = 61,597,029.92/8,338.67
  6. Step 6: Final answer
    x = 7,386.92

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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.