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Finding the Fourth Proportional to 8,123.84, 11,208.53 and 4,766.80

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Solution

The fourth proportional to 8,123.84, 11,208.53 and 4,766.80 is: 6,576.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.84 : 11,208.53 = 4,766.80 : x
  2. Step 2: Convert to fraction form
    8,123.84/11,208.53 = 4,766.80/x
  3. Step 3: Cross multiply
    8,123.84x = 11,208.53 × 4,766.80
  4. Step 4: Simplify right side
    8,123.84x = 53,428,798.90
  5. Step 5: Solve for x
    x = 53,428,798.90/8,123.84
  6. Step 6: Final answer
    x = 6,576.79

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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.