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Finding the Fourth Proportional to 7,177.38, 9,904.68 and 4,033.57

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Solution

The fourth proportional to 7,177.38, 9,904.68 and 4,033.57 is: 5,566.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.38 : 9,904.68 = 4,033.57 : x
  2. Step 2: Convert to fraction form
    7,177.38/9,904.68 = 4,033.57/x
  3. Step 3: Cross multiply
    7,177.38x = 9,904.68 × 4,033.57
  4. Step 4: Simplify right side
    7,177.38x = 39,951,220.11
  5. Step 5: Solve for x
    x = 39,951,220.11/7,177.38
  6. Step 6: Final answer
    x = 5,566.27

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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.