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Finding the Fourth Proportional to 8,766.09, 12,097.22 and 4,787.24

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Solution

The fourth proportional to 8,766.09, 12,097.22 and 4,787.24 is: 6,606.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,766.09 : 12,097.22 = 4,787.24 : x
  2. Step 2: Convert to fraction form
    8,766.09/12,097.22 = 4,787.24/x
  3. Step 3: Cross multiply
    8,766.09x = 12,097.22 × 4,787.24
  4. Step 4: Simplify right side
    8,766.09x = 57,912,211.05
  5. Step 5: Solve for x
    x = 57,912,211.05/8,766.09
  6. Step 6: Final answer
    x = 6,606.39

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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.