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Finding the Fourth Proportional to 7,255.80, 10,883.76 and 2,872.32

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Solution

The fourth proportional to 7,255.80, 10,883.76 and 2,872.32 is: 4,308.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,255.80 : 10,883.76 = 2,872.32 : x
  2. Step 2: Convert to fraction form
    7,255.80/10,883.76 = 2,872.32/x
  3. Step 3: Cross multiply
    7,255.80x = 10,883.76 × 2,872.32
  4. Step 4: Simplify right side
    7,255.80x = 31,261,641.52
  5. Step 5: Solve for x
    x = 31,261,641.52/7,255.80
  6. Step 6: Final answer
    x = 4,308.50

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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.