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Finding the Fourth Proportional to 7,523.94, 11,278.55 and 3,142.65

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Solution

The fourth proportional to 7,523.94, 11,278.55 and 3,142.65 is: 4,710.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523.94 : 11,278.55 = 3,142.65 : x
  2. Step 2: Convert to fraction form
    7,523.94/11,278.55 = 3,142.65/x
  3. Step 3: Cross multiply
    7,523.94x = 11,278.55 × 3,142.65
  4. Step 4: Simplify right side
    7,523.94x = 35,444,519.44
  5. Step 5: Solve for x
    x = 35,444,519.44/7,523.94
  6. Step 6: Final answer
    x = 4,710.90

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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.