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Finding the Fourth Proportional to 7,155.92, 9,880.50 and 6,171.78

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Solution

The fourth proportional to 7,155.92, 9,880.50 and 6,171.78 is: 8,521.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,155.92 : 9,880.50 = 6,171.78 : x
  2. Step 2: Convert to fraction form
    7,155.92/9,880.50 = 6,171.78/x
  3. Step 3: Cross multiply
    7,155.92x = 9,880.50 × 6,171.78
  4. Step 4: Simplify right side
    7,155.92x = 60,980,272.29
  5. Step 5: Solve for x
    x = 60,980,272.29/7,155.92
  6. Step 6: Final answer
    x = 8,521.65

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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.