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Finding the Fourth Proportional to 11,881.14, 17,821.62 and 3,561

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Solution

The fourth proportional to 11,881.14, 17,821.62 and 3,561 is: 5,341.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881.14 : 17,821.62 = 3,561 : x
  2. Step 2: Convert to fraction form
    11,881.14/17,821.62 = 3,561/x
  3. Step 3: Cross multiply
    11,881.14x = 17,821.62 × 3,561
  4. Step 4: Simplify right side
    11,881.14x = 63,462,788.82
  5. Step 5: Solve for x
    x = 63,462,788.82/11,881.14
  6. Step 6: Final answer
    x = 5,341.47

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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.