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Finding the Fourth Proportional to 11,498.25, 15,867.45 and 6,463.31

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Solution

The fourth proportional to 11,498.25, 15,867.45 and 6,463.31 is: 8,919.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,498.25 : 15,867.45 = 6,463.31 : x
  2. Step 2: Convert to fraction form
    11,498.25/15,867.45 = 6,463.31/x
  3. Step 3: Cross multiply
    11,498.25x = 15,867.45 × 6,463.31
  4. Step 4: Simplify right side
    11,498.25x = 102,556,287.93
  5. Step 5: Solve for x
    x = 102,556,287.93/11,498.25
  6. Step 6: Final answer
    x = 8,919.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.