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Finding the Fourth Proportional to 6,508.40, 9,771.60 and 4,182.80

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Solution

The fourth proportional to 6,508.40, 9,771.60 and 4,182.80 is: 6,279.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.40 : 9,771.60 = 4,182.80 : x
  2. Step 2: Convert to fraction form
    6,508.40/9,771.60 = 4,182.80/x
  3. Step 3: Cross multiply
    6,508.40x = 9,771.60 × 4,182.80
  4. Step 4: Simplify right side
    6,508.40x = 40,872,648.48
  5. Step 5: Solve for x
    x = 40,872,648.48/6,508.40
  6. Step 6: Final answer
    x = 6,279.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.