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Finding the Fourth Proportional to 11,851.18, 17,780.05 and 5,186.48

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Solution

The fourth proportional to 11,851.18, 17,780.05 and 5,186.48 is: 7,781.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,851.18 : 17,780.05 = 5,186.48 : x
  2. Step 2: Convert to fraction form
    11,851.18/17,780.05 = 5,186.48/x
  3. Step 3: Cross multiply
    11,851.18x = 17,780.05 × 5,186.48
  4. Step 4: Simplify right side
    11,851.18x = 92,215,784.82
  5. Step 5: Solve for x
    x = 92,215,784.82/11,851.18
  6. Step 6: Final answer
    x = 7,781.15

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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.