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Finding the Fourth Proportional to 10,882.21, 15,017.16 and 6,166.48

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Solution

The fourth proportional to 10,882.21, 15,017.16 and 6,166.48 is: 8,509.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882.21 : 15,017.16 = 6,166.48 : x
  2. Step 2: Convert to fraction form
    10,882.21/15,017.16 = 6,166.48/x
  3. Step 3: Cross multiply
    10,882.21x = 15,017.16 × 6,166.48
  4. Step 4: Simplify right side
    10,882.21x = 92,603,016.80
  5. Step 5: Solve for x
    x = 92,603,016.80/10,882.21
  6. Step 6: Final answer
    x = 8,509.58

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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.