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Finding the Fourth Proportional to 8,056.64, 12,085.86 and 7,229.82

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Solution

The fourth proportional to 8,056.64, 12,085.86 and 7,229.82 is: 10,845.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,056.64 : 12,085.86 = 7,229.82 : x
  2. Step 2: Convert to fraction form
    8,056.64/12,085.86 = 7,229.82/x
  3. Step 3: Cross multiply
    8,056.64x = 12,085.86 × 7,229.82
  4. Step 4: Simplify right side
    8,056.64x = 87,378,592.35
  5. Step 5: Solve for x
    x = 87,378,592.35/8,056.64
  6. Step 6: Final answer
    x = 10,845.54

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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.