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Finding the Fourth Proportional to 11,306, 16,959.03 and 3,514.82

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Solution

The fourth proportional to 11,306, 16,959.03 and 3,514.82 is: 5,272.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,306 : 16,959.03 = 3,514.82 : x
  2. Step 2: Convert to fraction form
    11,306/16,959.03 = 3,514.82/x
  3. Step 3: Cross multiply
    11,306x = 16,959.03 × 3,514.82
  4. Step 4: Simplify right side
    11,306x = 59,607,937.82
  5. Step 5: Solve for x
    x = 59,607,937.82/11,306
  6. Step 6: Final answer
    x = 5,272.24

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