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Finding the Fourth Proportional to 8,317.71, 12,478.37 and 3,872.07

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Solution

The fourth proportional to 8,317.71, 12,478.37 and 3,872.07 is: 5,808.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,317.71 : 12,478.37 = 3,872.07 : x
  2. Step 2: Convert to fraction form
    8,317.71/12,478.37 = 3,872.07/x
  3. Step 3: Cross multiply
    8,317.71x = 12,478.37 × 3,872.07
  4. Step 4: Simplify right side
    8,317.71x = 48,317,102.77
  5. Step 5: Solve for x
    x = 48,317,102.77/8,317.71
  6. Step 6: Final answer
    x = 5,808.94

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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.