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Finding the Fourth Proportional to 7,042.69, 10,574.42 and 3,928.78

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Solution

The fourth proportional to 7,042.69, 10,574.42 and 3,928.78 is: 5,898.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.69 : 10,574.42 = 3,928.78 : x
  2. Step 2: Convert to fraction form
    7,042.69/10,574.42 = 3,928.78/x
  3. Step 3: Cross multiply
    7,042.69x = 10,574.42 × 3,928.78
  4. Step 4: Simplify right side
    7,042.69x = 41,544,550.16
  5. Step 5: Solve for x
    x = 41,544,550.16/7,042.69
  6. Step 6: Final answer
    x = 5,898.96

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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.