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Finding the Fourth Proportional to 8,032.69, 11,088.31 and 5,446.23

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Solution

The fourth proportional to 8,032.69, 11,088.31 and 5,446.23 is: 7,517.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.69 : 11,088.31 = 5,446.23 : x
  2. Step 2: Convert to fraction form
    8,032.69/11,088.31 = 5,446.23/x
  3. Step 3: Cross multiply
    8,032.69x = 11,088.31 × 5,446.23
  4. Step 4: Simplify right side
    8,032.69x = 60,389,486.57
  5. Step 5: Solve for x
    x = 60,389,486.57/8,032.69
  6. Step 6: Final answer
    x = 7,517.97

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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.