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Finding the Fourth Proportional to 7,320.60, 10,100.70 and 4,177.80

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Solution

The fourth proportional to 7,320.60, 10,100.70 and 4,177.80 is: 5,764.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,320.60 : 10,100.70 = 4,177.80 : x
  2. Step 2: Convert to fraction form
    7,320.60/10,100.70 = 4,177.80/x
  3. Step 3: Cross multiply
    7,320.60x = 10,100.70 × 4,177.80
  4. Step 4: Simplify right side
    7,320.60x = 42,198,704.46
  5. Step 5: Solve for x
    x = 42,198,704.46/7,320.60
  6. Step 6: Final answer
    x = 5,764.38

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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.