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Finding the Fourth Proportional to 7,857, 10,843.27 and 5,504.76

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Solution

The fourth proportional to 7,857, 10,843.27 and 5,504.76 is: 7,596.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857 : 10,843.27 = 5,504.76 : x
  2. Step 2: Convert to fraction form
    7,857/10,843.27 = 5,504.76/x
  3. Step 3: Cross multiply
    7,857x = 10,843.27 × 5,504.76
  4. Step 4: Simplify right side
    7,857x = 59,689,585.20
  5. Step 5: Solve for x
    x = 59,689,585.20/7,857
  6. Step 6: Final answer
    x = 7,596.99

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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.