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Finding the Fourth Proportional to 8,251.35, 12,371.32 and 3,870.06

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Solution

The fourth proportional to 8,251.35, 12,371.32 and 3,870.06 is: 5,802.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251.35 : 12,371.32 = 3,870.06 : x
  2. Step 2: Convert to fraction form
    8,251.35/12,371.32 = 3,870.06/x
  3. Step 3: Cross multiply
    8,251.35x = 12,371.32 × 3,870.06
  4. Step 4: Simplify right side
    8,251.35x = 47,877,750.68
  5. Step 5: Solve for x
    x = 47,877,750.68/8,251.35
  6. Step 6: Final answer
    x = 5,802.41

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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.