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Finding the Fourth Proportional to 8,204.48, 12,309.60 and 5,122.88

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Solution

The fourth proportional to 8,204.48, 12,309.60 and 5,122.88 is: 7,686.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.48 : 12,309.60 = 5,122.88 : x
  2. Step 2: Convert to fraction form
    8,204.48/12,309.60 = 5,122.88/x
  3. Step 3: Cross multiply
    8,204.48x = 12,309.60 × 5,122.88
  4. Step 4: Simplify right side
    8,204.48x = 63,060,603.65
  5. Step 5: Solve for x
    x = 63,060,603.65/8,204.48
  6. Step 6: Final answer
    x = 7,686.12

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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.