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Finding the Fourth Proportional to 10,470.87, 14,450.81 and 5,993.73

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Solution

The fourth proportional to 10,470.87, 14,450.81 and 5,993.73 is: 8,271.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.87 : 14,450.81 = 5,993.73 : x
  2. Step 2: Convert to fraction form
    10,470.87/14,450.81 = 5,993.73/x
  3. Step 3: Cross multiply
    10,470.87x = 14,450.81 × 5,993.73
  4. Step 4: Simplify right side
    10,470.87x = 86,614,223.45
  5. Step 5: Solve for x
    x = 86,614,223.45/10,470.87
  6. Step 6: Final answer
    x = 8,271.92

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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.