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Finding the Fourth Proportional to 11,514.88, 17,275.56 and 3,724.30

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Solution

The fourth proportional to 11,514.88, 17,275.56 and 3,724.30 is: 5,587.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,514.88 : 17,275.56 = 3,724.30 : x
  2. Step 2: Convert to fraction form
    11,514.88/17,275.56 = 3,724.30/x
  3. Step 3: Cross multiply
    11,514.88x = 17,275.56 × 3,724.30
  4. Step 4: Simplify right side
    11,514.88x = 64,339,368.11
  5. Step 5: Solve for x
    x = 64,339,368.11/11,514.88
  6. Step 6: Final answer
    x = 5,587.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.