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Finding the Fourth Proportional to 7,658.52, 10,568.69 and 4,301.38

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Solution

The fourth proportional to 7,658.52, 10,568.69 and 4,301.38 is: 5,935.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.52 : 10,568.69 = 4,301.38 : x
  2. Step 2: Convert to fraction form
    7,658.52/10,568.69 = 4,301.38/x
  3. Step 3: Cross multiply
    7,658.52x = 10,568.69 × 4,301.38
  4. Step 4: Simplify right side
    7,658.52x = 45,459,930.29
  5. Step 5: Solve for x
    x = 45,459,930.29/7,658.52
  6. Step 6: Final answer
    x = 5,935.87

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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.