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Finding the Fourth Proportional to 8,123.61, 11,209.90 and 4,766.07

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Solution

The fourth proportional to 8,123.61, 11,209.90 and 4,766.07 is: 6,576.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.61 : 11,209.90 = 4,766.07 : x
  2. Step 2: Convert to fraction form
    8,123.61/11,209.90 = 4,766.07/x
  3. Step 3: Cross multiply
    8,123.61x = 11,209.90 × 4,766.07
  4. Step 4: Simplify right side
    8,123.61x = 53,427,168.09
  5. Step 5: Solve for x
    x = 53,427,168.09/8,123.61
  6. Step 6: Final answer
    x = 6,576.78

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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.