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Finding the Fourth Proportional to 8,237.30, 11,365.11 and 5,049.54

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Solution

The fourth proportional to 8,237.30, 11,365.11 and 5,049.54 is: 6,966.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237.30 : 11,365.11 = 5,049.54 : x
  2. Step 2: Convert to fraction form
    8,237.30/11,365.11 = 5,049.54/x
  3. Step 3: Cross multiply
    8,237.30x = 11,365.11 × 5,049.54
  4. Step 4: Simplify right side
    8,237.30x = 57,388,577.55
  5. Step 5: Solve for x
    x = 57,388,577.55/8,237.30
  6. Step 6: Final answer
    x = 6,966.92

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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.