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Finding the Fourth Proportional to 7,848.28, 10,839.38 and 5,326

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Solution

The fourth proportional to 7,848.28, 10,839.38 and 5,326 is: 7,355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.28 : 10,839.38 = 5,326 : x
  2. Step 2: Convert to fraction form
    7,848.28/10,839.38 = 5,326/x
  3. Step 3: Cross multiply
    7,848.28x = 10,839.38 × 5,326
  4. Step 4: Simplify right side
    7,848.28x = 57,730,537.88
  5. Step 5: Solve for x
    x = 57,730,537.88/7,848.28
  6. Step 6: Final answer
    x = 7,355.82

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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.