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Finding the Fourth Proportional to 8,714.96, 13,059.96 and 6,758

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Solution

The fourth proportional to 8,714.96, 13,059.96 and 6,758 is: 10,127.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.96 : 13,059.96 = 6,758 : x
  2. Step 2: Convert to fraction form
    8,714.96/13,059.96 = 6,758/x
  3. Step 3: Cross multiply
    8,714.96x = 13,059.96 × 6,758
  4. Step 4: Simplify right side
    8,714.96x = 88,259,209.68
  5. Step 5: Solve for x
    x = 88,259,209.68/8,714.96
  6. Step 6: Final answer
    x = 10,127.32

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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.