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Finding the Fourth Proportional to 8,232.04, 12,347.70 and 3,611.80

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Solution

The fourth proportional to 8,232.04, 12,347.70 and 3,611.80 is: 5,417.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.04 : 12,347.70 = 3,611.80 : x
  2. Step 2: Convert to fraction form
    8,232.04/12,347.70 = 3,611.80/x
  3. Step 3: Cross multiply
    8,232.04x = 12,347.70 × 3,611.80
  4. Step 4: Simplify right side
    8,232.04x = 44,597,422.86
  5. Step 5: Solve for x
    x = 44,597,422.86/8,232.04
  6. Step 6: Final answer
    x = 5,417.54

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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.