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Finding the Fourth Proportional to 7,806.06, 11,700.72 and 3,851.82

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Solution

The fourth proportional to 7,806.06, 11,700.72 and 3,851.82 is: 5,773.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.06 : 11,700.72 = 3,851.82 : x
  2. Step 2: Convert to fraction form
    7,806.06/11,700.72 = 3,851.82/x
  3. Step 3: Cross multiply
    7,806.06x = 11,700.72 × 3,851.82
  4. Step 4: Simplify right side
    7,806.06x = 45,069,067.31
  5. Step 5: Solve for x
    x = 45,069,067.31/7,806.06
  6. Step 6: Final answer
    x = 5,773.60

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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.