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Finding the Fourth Proportional to 8,009.72, 12,009.84 and 2,742.88

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Solution

The fourth proportional to 8,009.72, 12,009.84 and 2,742.88 is: 4,112.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009.72 : 12,009.84 = 2,742.88 : x
  2. Step 2: Convert to fraction form
    8,009.72/12,009.84 = 2,742.88/x
  3. Step 3: Cross multiply
    8,009.72x = 12,009.84 × 2,742.88
  4. Step 4: Simplify right side
    8,009.72x = 32,941,549.94
  5. Step 5: Solve for x
    x = 32,941,549.94/8,009.72
  6. Step 6: Final answer
    x = 4,112.70

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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.