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Finding the Fourth Proportional to 8,716.96, 12,034 and 7,371.96

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Solution

The fourth proportional to 8,716.96, 12,034 and 7,371.96 is: 10,177.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,716.96 : 12,034 = 7,371.96 : x
  2. Step 2: Convert to fraction form
    8,716.96/12,034 = 7,371.96/x
  3. Step 3: Cross multiply
    8,716.96x = 12,034 × 7,371.96
  4. Step 4: Simplify right side
    8,716.96x = 88,714,166.64
  5. Step 5: Solve for x
    x = 88,714,166.64/8,716.96
  6. Step 6: Final answer
    x = 10,177.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.