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Finding the Fourth Proportional to 8,228.53, 12,323.18 and 5,257.64

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Solution

The fourth proportional to 8,228.53, 12,323.18 and 5,257.64 is: 7,873.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.53 : 12,323.18 = 5,257.64 : x
  2. Step 2: Convert to fraction form
    8,228.53/12,323.18 = 5,257.64/x
  3. Step 3: Cross multiply
    8,228.53x = 12,323.18 × 5,257.64
  4. Step 4: Simplify right side
    8,228.53x = 64,790,817.81
  5. Step 5: Solve for x
    x = 64,790,817.81/8,228.53
  6. Step 6: Final answer
    x = 7,873.92

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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.