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Finding the Fourth Proportional to 7,867.56, 10,844.64 and 5,972.97

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Solution

The fourth proportional to 7,867.56, 10,844.64 and 5,972.97 is: 8,233.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.56 : 10,844.64 = 5,972.97 : x
  2. Step 2: Convert to fraction form
    7,867.56/10,844.64 = 5,972.97/x
  3. Step 3: Cross multiply
    7,867.56x = 10,844.64 × 5,972.97
  4. Step 4: Simplify right side
    7,867.56x = 64,774,709.38
  5. Step 5: Solve for x
    x = 64,774,709.38/7,867.56
  6. Step 6: Final answer
    x = 8,233.14

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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.