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Finding the Fourth Proportional to 7,002.62, 10,497.44 and 2,382.38

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Solution

The fourth proportional to 7,002.62, 10,497.44 and 2,382.38 is: 3,571.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.62 : 10,497.44 = 2,382.38 : x
  2. Step 2: Convert to fraction form
    7,002.62/10,497.44 = 2,382.38/x
  3. Step 3: Cross multiply
    7,002.62x = 10,497.44 × 2,382.38
  4. Step 4: Simplify right side
    7,002.62x = 25,008,826.71
  5. Step 5: Solve for x
    x = 25,008,826.71/7,002.62
  6. Step 6: Final answer
    x = 3,571.36

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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.