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Finding the Fourth Proportional to 7,357.38, 10,146.31 and 5,676.14

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Solution

The fourth proportional to 7,357.38, 10,146.31 and 5,676.14 is: 7,827.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357.38 : 10,146.31 = 5,676.14 : x
  2. Step 2: Convert to fraction form
    7,357.38/10,146.31 = 5,676.14/x
  3. Step 3: Cross multiply
    7,357.38x = 10,146.31 × 5,676.14
  4. Step 4: Simplify right side
    7,357.38x = 57,591,811.12
  5. Step 5: Solve for x
    x = 57,591,811.12/7,357.38
  6. Step 6: Final answer
    x = 7,827.76

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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.