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Finding the Fourth Proportional to 10,995.14, 16,514.85 and 6,561.47

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Solution

The fourth proportional to 10,995.14, 16,514.85 and 6,561.47 is: 9,855.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,995.14 : 16,514.85 = 6,561.47 : x
  2. Step 2: Convert to fraction form
    10,995.14/16,514.85 = 6,561.47/x
  3. Step 3: Cross multiply
    10,995.14x = 16,514.85 × 6,561.47
  4. Step 4: Simplify right side
    10,995.14x = 108,361,610.26
  5. Step 5: Solve for x
    x = 108,361,610.26/10,995.14
  6. Step 6: Final answer
    x = 9,855.41

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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.