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Finding the Fourth Proportional to 7,295.44, 10,945.92 and 4,375.80

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Solution

The fourth proportional to 7,295.44, 10,945.92 and 4,375.80 is: 6,565.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,295.44 : 10,945.92 = 4,375.80 : x
  2. Step 2: Convert to fraction form
    7,295.44/10,945.92 = 4,375.80/x
  3. Step 3: Cross multiply
    7,295.44x = 10,945.92 × 4,375.80
  4. Step 4: Simplify right side
    7,295.44x = 47,897,156.74
  5. Step 5: Solve for x
    x = 47,897,156.74/7,295.44
  6. Step 6: Final answer
    x = 6,565.36

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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.