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Finding the Fourth Proportional to 8,438.40, 12,658.32 and 2,199.24

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Solution

The fourth proportional to 8,438.40, 12,658.32 and 2,199.24 is: 3,299.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.40 : 12,658.32 = 2,199.24 : x
  2. Step 2: Convert to fraction form
    8,438.40/12,658.32 = 2,199.24/x
  3. Step 3: Cross multiply
    8,438.40x = 12,658.32 × 2,199.24
  4. Step 4: Simplify right side
    8,438.40x = 27,838,683.68
  5. Step 5: Solve for x
    x = 27,838,683.68/8,438.40
  6. Step 6: Final answer
    x = 3,299.05

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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.