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Finding the Fourth Proportional to 11,454.39, 15,808.03 and 6,418.55

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Solution

The fourth proportional to 11,454.39, 15,808.03 and 6,418.55 is: 8,858.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,454.39 : 15,808.03 = 6,418.55 : x
  2. Step 2: Convert to fraction form
    11,454.39/15,808.03 = 6,418.55/x
  3. Step 3: Cross multiply
    11,454.39x = 15,808.03 × 6,418.55
  4. Step 4: Simplify right side
    11,454.39x = 101,464,654.43
  5. Step 5: Solve for x
    x = 101,464,654.43/11,454.39
  6. Step 6: Final answer
    x = 8,858.15

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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.