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Finding the Fourth Proportional to 7,498.65, 10,340.38 and 6,439.92

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Solution

The fourth proportional to 7,498.65, 10,340.38 and 6,439.92 is: 8,880.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,498.65 : 10,340.38 = 6,439.92 : x
  2. Step 2: Convert to fraction form
    7,498.65/10,340.38 = 6,439.92/x
  3. Step 3: Cross multiply
    7,498.65x = 10,340.38 × 6,439.92
  4. Step 4: Simplify right side
    7,498.65x = 66,591,219.97
  5. Step 5: Solve for x
    x = 66,591,219.97/7,498.65
  6. Step 6: Final answer
    x = 8,880.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.