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Finding the Fourth Proportional to 8,542.80, 11,789.52 and 5,006.28

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Solution

The fourth proportional to 8,542.80, 11,789.52 and 5,006.28 is: 6,908.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.80 : 11,789.52 = 5,006.28 : x
  2. Step 2: Convert to fraction form
    8,542.80/11,789.52 = 5,006.28/x
  3. Step 3: Cross multiply
    8,542.80x = 11,789.52 × 5,006.28
  4. Step 4: Simplify right side
    8,542.80x = 59,021,638.19
  5. Step 5: Solve for x
    x = 59,021,638.19/8,542.80
  6. Step 6: Final answer
    x = 6,908.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.