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Finding the Fourth Proportional to 11,391.95, 15,719.81 and 6,918.15

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Solution

The fourth proportional to 11,391.95, 15,719.81 and 6,918.15 is: 9,546.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,391.95 : 15,719.81 = 6,918.15 : x
  2. Step 2: Convert to fraction form
    11,391.95/15,719.81 = 6,918.15/x
  3. Step 3: Cross multiply
    11,391.95x = 15,719.81 × 6,918.15
  4. Step 4: Simplify right side
    11,391.95x = 108,752,027.91
  5. Step 5: Solve for x
    x = 108,752,027.91/11,391.95
  6. Step 6: Final answer
    x = 9,546.39

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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.