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Finding the Fourth Proportional to 6,182.75, 8,542.98 and 4,866.90

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Solution

The fourth proportional to 6,182.75, 8,542.98 and 4,866.90 is: 6,724.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.75 : 8,542.98 = 4,866.90 : x
  2. Step 2: Convert to fraction form
    6,182.75/8,542.98 = 4,866.90/x
  3. Step 3: Cross multiply
    6,182.75x = 8,542.98 × 4,866.90
  4. Step 4: Simplify right side
    6,182.75x = 41,577,829.36
  5. Step 5: Solve for x
    x = 41,577,829.36/6,182.75
  6. Step 6: Final answer
    x = 6,724.82

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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.