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Finding the Fourth Proportional to 8,071.68, 12,108.96 and 2,881.20

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Solution

The fourth proportional to 8,071.68, 12,108.96 and 2,881.20 is: 4,322.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.68 : 12,108.96 = 2,881.20 : x
  2. Step 2: Convert to fraction form
    8,071.68/12,108.96 = 2,881.20/x
  3. Step 3: Cross multiply
    8,071.68x = 12,108.96 × 2,881.20
  4. Step 4: Simplify right side
    8,071.68x = 34,888,335.55
  5. Step 5: Solve for x
    x = 34,888,335.55/8,071.68
  6. Step 6: Final answer
    x = 4,322.31

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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.