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Finding the Fourth Proportional to 6,852.80, 10,279.20 and 5,124.80

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Solution

The fourth proportional to 6,852.80, 10,279.20 and 5,124.80 is: 7,687.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.80 : 10,279.20 = 5,124.80 : x
  2. Step 2: Convert to fraction form
    6,852.80/10,279.20 = 5,124.80/x
  3. Step 3: Cross multiply
    6,852.80x = 10,279.20 × 5,124.80
  4. Step 4: Simplify right side
    6,852.80x = 52,678,844.16
  5. Step 5: Solve for x
    x = 52,678,844.16/6,852.80
  6. Step 6: Final answer
    x = 7,687.20

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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.