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Finding the Fourth Proportional to 8,290.44, 12,414.42 and 4,588.56

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Solution

The fourth proportional to 8,290.44, 12,414.42 and 4,588.56 is: 6,871.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.44 : 12,414.42 = 4,588.56 : x
  2. Step 2: Convert to fraction form
    8,290.44/12,414.42 = 4,588.56/x
  3. Step 3: Cross multiply
    8,290.44x = 12,414.42 × 4,588.56
  4. Step 4: Simplify right side
    8,290.44x = 56,964,311.04
  5. Step 5: Solve for x
    x = 56,964,311.04/8,290.44
  6. Step 6: Final answer
    x = 6,871.08

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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.