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Finding the Fourth Proportional to 8,228.78, 12,323.55 and 5,257.89

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Solution

The fourth proportional to 8,228.78, 12,323.55 and 5,257.89 is: 7,874.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.78 : 12,323.55 = 5,257.89 : x
  2. Step 2: Convert to fraction form
    8,228.78/12,323.55 = 5,257.89/x
  3. Step 3: Cross multiply
    8,228.78x = 12,323.55 × 5,257.89
  4. Step 4: Simplify right side
    8,228.78x = 64,795,870.31
  5. Step 5: Solve for x
    x = 64,795,870.31/8,228.78
  6. Step 6: Final answer
    x = 7,874.30

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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.