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Finding the Fourth Proportional to 8,079.06, 11,149.05 and 4,542.30

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Solution

The fourth proportional to 8,079.06, 11,149.05 and 4,542.30 is: 6,268.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,079.06 : 11,149.05 = 4,542.30 : x
  2. Step 2: Convert to fraction form
    8,079.06/11,149.05 = 4,542.30/x
  3. Step 3: Cross multiply
    8,079.06x = 11,149.05 × 4,542.30
  4. Step 4: Simplify right side
    8,079.06x = 50,642,329.82
  5. Step 5: Solve for x
    x = 50,642,329.82/8,079.06
  6. Step 6: Final answer
    x = 6,268.34

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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.