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Finding the Fourth Proportional to 8,146.92, 11,232.90 and 6,885.75

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Solution

The fourth proportional to 8,146.92, 11,232.90 and 6,885.75 is: 9,494.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.92 : 11,232.90 = 6,885.75 : x
  2. Step 2: Convert to fraction form
    8,146.92/11,232.90 = 6,885.75/x
  3. Step 3: Cross multiply
    8,146.92x = 11,232.90 × 6,885.75
  4. Step 4: Simplify right side
    8,146.92x = 77,346,941.18
  5. Step 5: Solve for x
    x = 77,346,941.18/8,146.92
  6. Step 6: Final answer
    x = 9,494.01

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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.