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Finding the Fourth Proportional to 8,165.38, 11,271.66 and 5,516.36

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Solution

The fourth proportional to 8,165.38, 11,271.66 and 5,516.36 is: 7,614.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.38 : 11,271.66 = 5,516.36 : x
  2. Step 2: Convert to fraction form
    8,165.38/11,271.66 = 5,516.36/x
  3. Step 3: Cross multiply
    8,165.38x = 11,271.66 × 5,516.36
  4. Step 4: Simplify right side
    8,165.38x = 62,178,534.36
  5. Step 5: Solve for x
    x = 62,178,534.36/8,165.38
  6. Step 6: Final answer
    x = 7,614.90

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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.