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Finding the Fourth Proportional to 6,803.84, 10,184.56 and 5,239.78

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Solution

The fourth proportional to 6,803.84, 10,184.56 and 5,239.78 is: 7,843.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.84 : 10,184.56 = 5,239.78 : x
  2. Step 2: Convert to fraction form
    6,803.84/10,184.56 = 5,239.78/x
  3. Step 3: Cross multiply
    6,803.84x = 10,184.56 × 5,239.78
  4. Step 4: Simplify right side
    6,803.84x = 53,364,853.80
  5. Step 5: Solve for x
    x = 53,364,853.80/6,803.84
  6. Step 6: Final answer
    x = 7,843.34

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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.