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Finding the Fourth Proportional to 6,920.88, 10,366.92 and 5,748

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Solution

The fourth proportional to 6,920.88, 10,366.92 and 5,748 is: 8,610.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.88 : 10,366.92 = 5,748 : x
  2. Step 2: Convert to fraction form
    6,920.88/10,366.92 = 5,748/x
  3. Step 3: Cross multiply
    6,920.88x = 10,366.92 × 5,748
  4. Step 4: Simplify right side
    6,920.88x = 59,589,056.16
  5. Step 5: Solve for x
    x = 59,589,056.16/6,920.88
  6. Step 6: Final answer
    x = 8,610.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.