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Finding the Fourth Proportional to 8,481.56, 12,714.90 and 2,931.08

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Solution

The fourth proportional to 8,481.56, 12,714.90 and 2,931.08 is: 4,394.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,481.56 : 12,714.90 = 2,931.08 : x
  2. Step 2: Convert to fraction form
    8,481.56/12,714.90 = 2,931.08/x
  3. Step 3: Cross multiply
    8,481.56x = 12,714.90 × 2,931.08
  4. Step 4: Simplify right side
    8,481.56x = 37,268,389.09
  5. Step 5: Solve for x
    x = 37,268,389.09/8,481.56
  6. Step 6: Final answer
    x = 4,394.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.