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Finding the Fourth Proportional to 8,146.17, 11,231.87 and 6,885

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Solution

The fourth proportional to 8,146.17, 11,231.87 and 6,885 is: 9,492.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.17 : 11,231.87 = 6,885 : x
  2. Step 2: Convert to fraction form
    8,146.17/11,231.87 = 6,885/x
  3. Step 3: Cross multiply
    8,146.17x = 11,231.87 × 6,885
  4. Step 4: Simplify right side
    8,146.17x = 77,331,390.53
  5. Step 5: Solve for x
    x = 77,331,390.53/8,146.17
  6. Step 6: Final answer
    x = 9,492.98

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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.