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Finding the Fourth Proportional to 8,228.86, 12,337.82 and 4,532.84

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Solution

The fourth proportional to 8,228.86, 12,337.82 and 4,532.84 is: 6,796.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.86 : 12,337.82 = 4,532.84 : x
  2. Step 2: Convert to fraction form
    8,228.86/12,337.82 = 4,532.84/x
  3. Step 3: Cross multiply
    8,228.86x = 12,337.82 × 4,532.84
  4. Step 4: Simplify right side
    8,228.86x = 55,925,364.01
  5. Step 5: Solve for x
    x = 55,925,364.01/8,228.86
  6. Step 6: Final answer
    x = 6,796.25

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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.