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Finding the Fourth Proportional to 8,274.24, 12,412.17 and 2,725.32

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Solution

The fourth proportional to 8,274.24, 12,412.17 and 2,725.32 is: 4,088.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.24 : 12,412.17 = 2,725.32 : x
  2. Step 2: Convert to fraction form
    8,274.24/12,412.17 = 2,725.32/x
  3. Step 3: Cross multiply
    8,274.24x = 12,412.17 × 2,725.32
  4. Step 4: Simplify right side
    8,274.24x = 33,827,135.14
  5. Step 5: Solve for x
    x = 33,827,135.14/8,274.24
  6. Step 6: Final answer
    x = 4,088.25

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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.