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Finding the Fourth Proportional to 8,506.50, 11,750.12 and 5,849.29

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Solution

The fourth proportional to 8,506.50, 11,750.12 and 5,849.29 is: 8,079.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.50 : 11,750.12 = 5,849.29 : x
  2. Step 2: Convert to fraction form
    8,506.50/11,750.12 = 5,849.29/x
  3. Step 3: Cross multiply
    8,506.50x = 11,750.12 × 5,849.29
  4. Step 4: Simplify right side
    8,506.50x = 68,729,859.41
  5. Step 5: Solve for x
    x = 68,729,859.41/8,506.50
  6. Step 6: Final answer
    x = 8,079.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.