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Finding the Fourth Proportional to 8,053.79, 11,122.67 and 5,542.38

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Solution

The fourth proportional to 8,053.79, 11,122.67 and 5,542.38 is: 7,654.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,053.79 : 11,122.67 = 5,542.38 : x
  2. Step 2: Convert to fraction form
    8,053.79/11,122.67 = 5,542.38/x
  3. Step 3: Cross multiply
    8,053.79x = 11,122.67 × 5,542.38
  4. Step 4: Simplify right side
    8,053.79x = 61,646,077.61
  5. Step 5: Solve for x
    x = 61,646,077.61/8,053.79
  6. Step 6: Final answer
    x = 7,654.30

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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.