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Finding the Fourth Proportional to 8,822.36, 13,233.52 and 6,876

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Solution

The fourth proportional to 8,822.36, 13,233.52 and 6,876 is: 10,313.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,822.36 : 13,233.52 = 6,876 : x
  2. Step 2: Convert to fraction form
    8,822.36/13,233.52 = 6,876/x
  3. Step 3: Cross multiply
    8,822.36x = 13,233.52 × 6,876
  4. Step 4: Simplify right side
    8,822.36x = 90,993,683.52
  5. Step 5: Solve for x
    x = 90,993,683.52/8,822.36
  6. Step 6: Final answer
    x = 10,313.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.