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Finding the Fourth Proportional to 8,534, 11,766.12 and 7,016

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Solution

The fourth proportional to 8,534, 11,766.12 and 7,016 is: 9,673.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534 : 11,766.12 = 7,016 : x
  2. Step 2: Convert to fraction form
    8,534/11,766.12 = 7,016/x
  3. Step 3: Cross multiply
    8,534x = 11,766.12 × 7,016
  4. Step 4: Simplify right side
    8,534x = 82,551,097.92
  5. Step 5: Solve for x
    x = 82,551,097.92/8,534
  6. Step 6: Final answer
    x = 9,673.20

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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.