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Finding the Fourth Proportional to 8,232.87, 12,347.47 and 2,684.75

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Solution

The fourth proportional to 8,232.87, 12,347.47 and 2,684.75 is: 4,026.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.87 : 12,347.47 = 2,684.75 : x
  2. Step 2: Convert to fraction form
    8,232.87/12,347.47 = 2,684.75/x
  3. Step 3: Cross multiply
    8,232.87x = 12,347.47 × 2,684.75
  4. Step 4: Simplify right side
    8,232.87x = 33,149,811.70
  5. Step 5: Solve for x
    x = 33,149,811.70/8,232.87
  6. Step 6: Final answer
    x = 4,026.52

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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.