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Finding the Fourth Proportional to 8,438.08, 12,656.96 and 2,282.08

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Solution

The fourth proportional to 8,438.08, 12,656.96 and 2,282.08 is: 3,423.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.08 : 12,656.96 = 2,282.08 : x
  2. Step 2: Convert to fraction form
    8,438.08/12,656.96 = 2,282.08/x
  3. Step 3: Cross multiply
    8,438.08x = 12,656.96 × 2,282.08
  4. Step 4: Simplify right side
    8,438.08x = 28,884,195.28
  5. Step 5: Solve for x
    x = 28,884,195.28/8,438.08
  6. Step 6: Final answer
    x = 3,423.08

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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.