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Finding the Fourth Proportional to 7,807.27, 10,771.01 and 4,974.14

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Solution

The fourth proportional to 7,807.27, 10,771.01 and 4,974.14 is: 6,862.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.27 : 10,771.01 = 4,974.14 : x
  2. Step 2: Convert to fraction form
    7,807.27/10,771.01 = 4,974.14/x
  3. Step 3: Cross multiply
    7,807.27x = 10,771.01 × 4,974.14
  4. Step 4: Simplify right side
    7,807.27x = 53,576,446.42
  5. Step 5: Solve for x
    x = 53,576,446.42/7,807.27
  6. Step 6: Final answer
    x = 6,862.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.