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Finding the Fourth Proportional to 8,230.86, 12,340.82 and 4,534.84

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Solution

The fourth proportional to 8,230.86, 12,340.82 and 4,534.84 is: 6,799.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.86 : 12,340.82 = 4,534.84 : x
  2. Step 2: Convert to fraction form
    8,230.86/12,340.82 = 4,534.84/x
  3. Step 3: Cross multiply
    8,230.86x = 12,340.82 × 4,534.84
  4. Step 4: Simplify right side
    8,230.86x = 55,963,644.17
  5. Step 5: Solve for x
    x = 55,963,644.17/8,230.86
  6. Step 6: Final answer
    x = 6,799.25

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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.