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Finding the Fourth Proportional to 7,275.50, 10,912.05 and 2,594.81

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Solution

The fourth proportional to 7,275.50, 10,912.05 and 2,594.81 is: 3,891.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,275.50 : 10,912.05 = 2,594.81 : x
  2. Step 2: Convert to fraction form
    7,275.50/10,912.05 = 2,594.81/x
  3. Step 3: Cross multiply
    7,275.50x = 10,912.05 × 2,594.81
  4. Step 4: Simplify right side
    7,275.50x = 28,314,641.90
  5. Step 5: Solve for x
    x = 28,314,641.90/7,275.50
  6. Step 6: Final answer
    x = 3,891.78

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Why These Related Problems?

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