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Finding the Fourth Proportional to 11,338.57, 15,643.49 and 6,860.62

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Solution

The fourth proportional to 11,338.57, 15,643.49 and 6,860.62 is: 9,465.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,338.57 : 15,643.49 = 6,860.62 : x
  2. Step 2: Convert to fraction form
    11,338.57/15,643.49 = 6,860.62/x
  3. Step 3: Cross multiply
    11,338.57x = 15,643.49 × 6,860.62
  4. Step 4: Simplify right side
    11,338.57x = 107,324,040.36
  5. Step 5: Solve for x
    x = 107,324,040.36/11,338.57
  6. Step 6: Final answer
    x = 9,465.39

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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.