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Finding the Fourth Proportional to 8,381.54, 12,571.81 and 4,675.46

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Solution

The fourth proportional to 8,381.54, 12,571.81 and 4,675.46 is: 7,012.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.54 : 12,571.81 = 4,675.46 : x
  2. Step 2: Convert to fraction form
    8,381.54/12,571.81 = 4,675.46/x
  3. Step 3: Cross multiply
    8,381.54x = 12,571.81 × 4,675.46
  4. Step 4: Simplify right side
    8,381.54x = 58,778,920.23
  5. Step 5: Solve for x
    x = 58,778,920.23/8,381.54
  6. Step 6: Final answer
    x = 7,012.90

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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.