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Finding the Fourth Proportional to 7,844.72, 11,761 and 6,803.28

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Solution

The fourth proportional to 7,844.72, 11,761 and 6,803.28 is: 10,199.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.72 : 11,761 = 6,803.28 : x
  2. Step 2: Convert to fraction form
    7,844.72/11,761 = 6,803.28/x
  3. Step 3: Cross multiply
    7,844.72x = 11,761 × 6,803.28
  4. Step 4: Simplify right side
    7,844.72x = 80,013,376.08
  5. Step 5: Solve for x
    x = 80,013,376.08/7,844.72
  6. Step 6: Final answer
    x = 10,199.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.