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Finding the Fourth Proportional to 7,949.46, 10,974.66 and 7,108.14

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Solution

The fourth proportional to 7,949.46, 10,974.66 and 7,108.14 is: 9,813.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,949.46 : 10,974.66 = 7,108.14 : x
  2. Step 2: Convert to fraction form
    7,949.46/10,974.66 = 7,108.14/x
  3. Step 3: Cross multiply
    7,949.46x = 10,974.66 × 7,108.14
  4. Step 4: Simplify right side
    7,949.46x = 78,009,419.73
  5. Step 5: Solve for x
    x = 78,009,419.73/7,949.46
  6. Step 6: Final answer
    x = 9,813.17

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