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Finding the Fourth Proportional to 8,282.46, 12,419.40 and 2,438.30

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Solution

The fourth proportional to 8,282.46, 12,419.40 and 2,438.30 is: 3,656.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.46 : 12,419.40 = 2,438.30 : x
  2. Step 2: Convert to fraction form
    8,282.46/12,419.40 = 2,438.30/x
  3. Step 3: Cross multiply
    8,282.46x = 12,419.40 × 2,438.30
  4. Step 4: Simplify right side
    8,282.46x = 30,282,223.02
  5. Step 5: Solve for x
    x = 30,282,223.02/8,282.46
  6. Step 6: Final answer
    x = 3,656.19

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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.