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Finding the Fourth Proportional to 10,111.82, 15,169.88 and 3,538.22

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Solution

The fourth proportional to 10,111.82, 15,169.88 and 3,538.22 is: 5,308.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,111.82 : 15,169.88 = 3,538.22 : x
  2. Step 2: Convert to fraction form
    10,111.82/15,169.88 = 3,538.22/x
  3. Step 3: Cross multiply
    10,111.82x = 15,169.88 × 3,538.22
  4. Step 4: Simplify right side
    10,111.82x = 53,674,305.81
  5. Step 5: Solve for x
    x = 53,674,305.81/10,111.82
  6. Step 6: Final answer
    x = 5,308.08

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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.