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Finding the Fourth Proportional to 8,283.12, 12,420.30 and 2,438.88

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Solution

The fourth proportional to 8,283.12, 12,420.30 and 2,438.88 is: 3,657.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.12 : 12,420.30 = 2,438.88 : x
  2. Step 2: Convert to fraction form
    8,283.12/12,420.30 = 2,438.88/x
  3. Step 3: Cross multiply
    8,283.12x = 12,420.30 × 2,438.88
  4. Step 4: Simplify right side
    8,283.12x = 30,291,621.26
  5. Step 5: Solve for x
    x = 30,291,621.26/8,283.12
  6. Step 6: Final answer
    x = 3,657.03

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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.