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Finding the Fourth Proportional to 8,351.92, 11,541 and 5,990.32

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Solution

The fourth proportional to 8,351.92, 11,541 and 5,990.32 is: 8,277.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,351.92 : 11,541 = 5,990.32 : x
  2. Step 2: Convert to fraction form
    8,351.92/11,541 = 5,990.32/x
  3. Step 3: Cross multiply
    8,351.92x = 11,541 × 5,990.32
  4. Step 4: Simplify right side
    8,351.92x = 69,134,283.12
  5. Step 5: Solve for x
    x = 69,134,283.12/8,351.92
  6. Step 6: Final answer
    x = 8,277.65

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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.