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Finding the Fourth Proportional to 10,966.25, 15,133.79 and 5,998.25

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Solution

The fourth proportional to 10,966.25, 15,133.79 and 5,998.25 is: 8,277.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966.25 : 15,133.79 = 5,998.25 : x
  2. Step 2: Convert to fraction form
    10,966.25/15,133.79 = 5,998.25/x
  3. Step 3: Cross multiply
    10,966.25x = 15,133.79 × 5,998.25
  4. Step 4: Simplify right side
    10,966.25x = 90,776,255.87
  5. Step 5: Solve for x
    x = 90,776,255.87/10,966.25
  6. Step 6: Final answer
    x = 8,277.78

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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.