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Finding the Fourth Proportional to 7,042.14, 10,570.04 and 3,757.54

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Solution

The fourth proportional to 7,042.14, 10,570.04 and 3,757.54 is: 5,639.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.14 : 10,570.04 = 3,757.54 : x
  2. Step 2: Convert to fraction form
    7,042.14/10,570.04 = 3,757.54/x
  3. Step 3: Cross multiply
    7,042.14x = 10,570.04 × 3,757.54
  4. Step 4: Simplify right side
    7,042.14x = 39,717,357.93
  5. Step 5: Solve for x
    x = 39,717,357.93/7,042.14
  6. Step 6: Final answer
    x = 5,639.96

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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.