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Finding the Fourth Proportional to 10,722.82, 14,797.78 and 6,007.40

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Solution

The fourth proportional to 10,722.82, 14,797.78 and 6,007.40 is: 8,290.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,722.82 : 14,797.78 = 6,007.40 : x
  2. Step 2: Convert to fraction form
    10,722.82/14,797.78 = 6,007.40/x
  3. Step 3: Cross multiply
    10,722.82x = 14,797.78 × 6,007.40
  4. Step 4: Simplify right side
    10,722.82x = 88,896,183.57
  5. Step 5: Solve for x
    x = 88,896,183.57/10,722.82
  6. Step 6: Final answer
    x = 8,290.37

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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.