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Finding the Fourth Proportional to 8,371.32, 12,548.98 and 2,821.80

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Solution

The fourth proportional to 8,371.32, 12,548.98 and 2,821.80 is: 4,230.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.32 : 12,548.98 = 2,821.80 : x
  2. Step 2: Convert to fraction form
    8,371.32/12,548.98 = 2,821.80/x
  3. Step 3: Cross multiply
    8,371.32x = 12,548.98 × 2,821.80
  4. Step 4: Simplify right side
    8,371.32x = 35,410,711.76
  5. Step 5: Solve for x
    x = 35,410,711.76/8,371.32
  6. Step 6: Final answer
    x = 4,230.00

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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.