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Finding the Fourth Proportional to 11,900.82, 17,851.38 and 5,661.42

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Solution

The fourth proportional to 11,900.82, 17,851.38 and 5,661.42 is: 8,492.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.82 : 17,851.38 = 5,661.42 : x
  2. Step 2: Convert to fraction form
    11,900.82/17,851.38 = 5,661.42/x
  3. Step 3: Cross multiply
    11,900.82x = 17,851.38 × 5,661.42
  4. Step 4: Simplify right side
    11,900.82x = 101,064,159.76
  5. Step 5: Solve for x
    x = 101,064,159.76/11,900.82
  6. Step 6: Final answer
    x = 8,492.20

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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.