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Finding the Fourth Proportional to 7,781.61, 11,674.04 and 2,851.41

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Solution

The fourth proportional to 7,781.61, 11,674.04 and 2,851.41 is: 4,277.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.61 : 11,674.04 = 2,851.41 : x
  2. Step 2: Convert to fraction form
    7,781.61/11,674.04 = 2,851.41/x
  3. Step 3: Cross multiply
    7,781.61x = 11,674.04 × 2,851.41
  4. Step 4: Simplify right side
    7,781.61x = 33,287,460.14
  5. Step 5: Solve for x
    x = 33,287,460.14/7,781.61
  6. Step 6: Final answer
    x = 4,277.71

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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.