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Finding the Fourth Proportional to 8,290.56, 12,432 and 2,742.88

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Solution

The fourth proportional to 8,290.56, 12,432 and 2,742.88 is: 4,113.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.56 : 12,432 = 2,742.88 : x
  2. Step 2: Convert to fraction form
    8,290.56/12,432 = 2,742.88/x
  3. Step 3: Cross multiply
    8,290.56x = 12,432 × 2,742.88
  4. Step 4: Simplify right side
    8,290.56x = 34,099,484.16
  5. Step 5: Solve for x
    x = 34,099,484.16/8,290.56
  6. Step 6: Final answer
    x = 4,113.05

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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.