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Finding the Fourth Proportional to 8,262.56, 12,394.56 and 2,714.40

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Solution

The fourth proportional to 8,262.56, 12,394.56 and 2,714.40 is: 4,071.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.56 : 12,394.56 = 2,714.40 : x
  2. Step 2: Convert to fraction form
    8,262.56/12,394.56 = 2,714.40/x
  3. Step 3: Cross multiply
    8,262.56x = 12,394.56 × 2,714.40
  4. Step 4: Simplify right side
    8,262.56x = 33,643,793.66
  5. Step 5: Solve for x
    x = 33,643,793.66/8,262.56
  6. Step 6: Final answer
    x = 4,071.84

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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.