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Finding the Fourth Proportional to 7,304.38, 10,080.55 and 4,160.57

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Solution

The fourth proportional to 7,304.38, 10,080.55 and 4,160.57 is: 5,741.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,304.38 : 10,080.55 = 4,160.57 : x
  2. Step 2: Convert to fraction form
    7,304.38/10,080.55 = 4,160.57/x
  3. Step 3: Cross multiply
    7,304.38x = 10,080.55 × 4,160.57
  4. Step 4: Simplify right side
    7,304.38x = 41,940,788.71
  5. Step 5: Solve for x
    x = 41,940,788.71/7,304.38
  6. Step 6: Final answer
    x = 5,741.87

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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.