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Finding the Fourth Proportional to 7,860.42, 11,791.44 and 3,473.46

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Solution

The fourth proportional to 7,860.42, 11,791.44 and 3,473.46 is: 5,210.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.42 : 11,791.44 = 3,473.46 : x
  2. Step 2: Convert to fraction form
    7,860.42/11,791.44 = 3,473.46/x
  3. Step 3: Cross multiply
    7,860.42x = 11,791.44 × 3,473.46
  4. Step 4: Simplify right side
    7,860.42x = 40,957,095.18
  5. Step 5: Solve for x
    x = 40,957,095.18/7,860.42
  6. Step 6: Final answer
    x = 5,210.55

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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.