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Finding the Fourth Proportional to 7,197.38, 9,932.58 and 4,053.68

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Solution

The fourth proportional to 7,197.38, 9,932.58 and 4,053.68 is: 5,594.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.38 : 9,932.58 = 4,053.68 : x
  2. Step 2: Convert to fraction form
    7,197.38/9,932.58 = 4,053.68/x
  3. Step 3: Cross multiply
    7,197.38x = 9,932.58 × 4,053.68
  4. Step 4: Simplify right side
    7,197.38x = 40,263,500.89
  5. Step 5: Solve for x
    x = 40,263,500.89/7,197.38
  6. Step 6: Final answer
    x = 5,594.19

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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.