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Finding the Fourth Proportional to 8,377.00, 11,564.20 and 4,839.53

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Solution

The fourth proportional to 8,377.00, 11,564.20 and 4,839.53 is: 6,680.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,377.00 : 11,564.20 = 4,839.53 : x
  2. Step 2: Convert to fraction form
    8,377.00/11,564.20 = 4,839.53/x
  3. Step 3: Cross multiply
    8,377.00x = 11,564.20 × 4,839.53
  4. Step 4: Simplify right side
    8,377.00x = 55,965,266.27
  5. Step 5: Solve for x
    x = 55,965,266.27/8,377.00
  6. Step 6: Final answer
    x = 6,680.82

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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.