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Finding the Fourth Proportional to 8,310.88, 12,453.06 and 5,816.80

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Solution

The fourth proportional to 8,310.88, 12,453.06 and 5,816.80 is: 8,715.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.88 : 12,453.06 = 5,816.80 : x
  2. Step 2: Convert to fraction form
    8,310.88/12,453.06 = 5,816.80/x
  3. Step 3: Cross multiply
    8,310.88x = 12,453.06 × 5,816.80
  4. Step 4: Simplify right side
    8,310.88x = 72,436,959.41
  5. Step 5: Solve for x
    x = 72,436,959.41/8,310.88
  6. Step 6: Final answer
    x = 8,715.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.