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Finding the Fourth Proportional to 7,057.60, 9,758.08 and 6,182.80

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Solution

The fourth proportional to 7,057.60, 9,758.08 and 6,182.80 is: 8,548.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.60 : 9,758.08 = 6,182.80 : x
  2. Step 2: Convert to fraction form
    7,057.60/9,758.08 = 6,182.80/x
  3. Step 3: Cross multiply
    7,057.60x = 9,758.08 × 6,182.80
  4. Step 4: Simplify right side
    7,057.60x = 60,332,257.02
  5. Step 5: Solve for x
    x = 60,332,257.02/7,057.60
  6. Step 6: Final answer
    x = 8,548.55

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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.