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Finding the Fourth Proportional to 7,504.42, 10,356.24 and 4,147.42

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Solution

The fourth proportional to 7,504.42, 10,356.24 and 4,147.42 is: 5,723.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,504.42 : 10,356.24 = 4,147.42 : x
  2. Step 2: Convert to fraction form
    7,504.42/10,356.24 = 4,147.42/x
  3. Step 3: Cross multiply
    7,504.42x = 10,356.24 × 4,147.42
  4. Step 4: Simplify right side
    7,504.42x = 42,951,676.90
  5. Step 5: Solve for x
    x = 42,951,676.90/7,504.42
  6. Step 6: Final answer
    x = 5,723.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.