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Finding the Fourth Proportional to 8,256.46, 12,364.50 and 7,456.84

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Solution

The fourth proportional to 8,256.46, 12,364.50 and 7,456.84 is: 11,167.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.46 : 12,364.50 = 7,456.84 : x
  2. Step 2: Convert to fraction form
    8,256.46/12,364.50 = 7,456.84/x
  3. Step 3: Cross multiply
    8,256.46x = 12,364.50 × 7,456.84
  4. Step 4: Simplify right side
    8,256.46x = 92,200,098.18
  5. Step 5: Solve for x
    x = 92,200,098.18/8,256.46
  6. Step 6: Final answer
    x = 11,167.03

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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.