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Finding the Fourth Proportional to 10,909.66, 16,365.34 and 3,514.34

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Solution

The fourth proportional to 10,909.66, 16,365.34 and 3,514.34 is: 5,271.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909.66 : 16,365.34 = 3,514.34 : x
  2. Step 2: Convert to fraction form
    10,909.66/16,365.34 = 3,514.34/x
  3. Step 3: Cross multiply
    10,909.66x = 16,365.34 × 3,514.34
  4. Step 4: Simplify right side
    10,909.66x = 57,513,322.23
  5. Step 5: Solve for x
    x = 57,513,322.23/10,909.66
  6. Step 6: Final answer
    x = 5,271.78

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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.