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Finding the Fourth Proportional to 8,272.32, 12,409.28 and 2,725.76

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Solution

The fourth proportional to 8,272.32, 12,409.28 and 2,725.76 is: 4,088.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.32 : 12,409.28 = 2,725.76 : x
  2. Step 2: Convert to fraction form
    8,272.32/12,409.28 = 2,725.76/x
  3. Step 3: Cross multiply
    8,272.32x = 12,409.28 × 2,725.76
  4. Step 4: Simplify right side
    8,272.32x = 33,824,719.05
  5. Step 5: Solve for x
    x = 33,824,719.05/8,272.32
  6. Step 6: Final answer
    x = 4,088.90

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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.