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Finding the Fourth Proportional to 8,290.64, 12,422.12 and 5,821.04

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Solution

The fourth proportional to 8,290.64, 12,422.12 and 5,821.04 is: 8,721.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.64 : 12,422.12 = 5,821.04 : x
  2. Step 2: Convert to fraction form
    8,290.64/12,422.12 = 5,821.04/x
  3. Step 3: Cross multiply
    8,290.64x = 12,422.12 × 5,821.04
  4. Step 4: Simplify right side
    8,290.64x = 72,309,659.35
  5. Step 5: Solve for x
    x = 72,309,659.35/8,290.64
  6. Step 6: Final answer
    x = 8,721.84

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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.