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Finding the Fourth Proportional to 8,186.32, 12,274.56 and 3,256.72

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Solution

The fourth proportional to 8,186.32, 12,274.56 and 3,256.72 is: 4,883.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.32 : 12,274.56 = 3,256.72 : x
  2. Step 2: Convert to fraction form
    8,186.32/12,274.56 = 3,256.72/x
  3. Step 3: Cross multiply
    8,186.32x = 12,274.56 × 3,256.72
  4. Step 4: Simplify right side
    8,186.32x = 39,974,805.04
  5. Step 5: Solve for x
    x = 39,974,805.04/8,186.32
  6. Step 6: Final answer
    x = 4,883.12

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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.