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Finding the Fourth Proportional to 10,885.84, 15,022.73 and 6,170.42

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Solution

The fourth proportional to 10,885.84, 15,022.73 and 6,170.42 is: 8,515.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,885.84 : 15,022.73 = 6,170.42 : x
  2. Step 2: Convert to fraction form
    10,885.84/15,022.73 = 6,170.42/x
  3. Step 3: Cross multiply
    10,885.84x = 15,022.73 × 6,170.42
  4. Step 4: Simplify right side
    10,885.84x = 92,696,553.65
  5. Step 5: Solve for x
    x = 92,696,553.65/10,885.84
  6. Step 6: Final answer
    x = 8,515.33

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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.