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Finding the Fourth Proportional to 8,627.16, 11,876.12 and 6,384.81

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Solution

The fourth proportional to 8,627.16, 11,876.12 and 6,384.81 is: 8,789.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,627.16 : 11,876.12 = 6,384.81 : x
  2. Step 2: Convert to fraction form
    8,627.16/11,876.12 = 6,384.81/x
  3. Step 3: Cross multiply
    8,627.16x = 11,876.12 × 6,384.81
  4. Step 4: Simplify right side
    8,627.16x = 75,826,737.81
  5. Step 5: Solve for x
    x = 75,826,737.81/8,627.16
  6. Step 6: Final answer
    x = 8,789.30

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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.