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Finding the Fourth Proportional to 8,152.66, 12,236.69 and 5,232.61

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Solution

The fourth proportional to 8,152.66, 12,236.69 and 5,232.61 is: 7,853.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.66 : 12,236.69 = 5,232.61 : x
  2. Step 2: Convert to fraction form
    8,152.66/12,236.69 = 5,232.61/x
  3. Step 3: Cross multiply
    8,152.66x = 12,236.69 × 5,232.61
  4. Step 4: Simplify right side
    8,152.66x = 64,029,826.46
  5. Step 5: Solve for x
    x = 64,029,826.46/8,152.66
  6. Step 6: Final answer
    x = 7,853.86

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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.