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Finding the Fourth Proportional to 10,713.94, 16,069.26 and 2,923.36

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Solution

The fourth proportional to 10,713.94, 16,069.26 and 2,923.36 is: 4,384.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.94 : 16,069.26 = 2,923.36 : x
  2. Step 2: Convert to fraction form
    10,713.94/16,069.26 = 2,923.36/x
  3. Step 3: Cross multiply
    10,713.94x = 16,069.26 × 2,923.36
  4. Step 4: Simplify right side
    10,713.94x = 46,976,231.91
  5. Step 5: Solve for x
    x = 46,976,231.91/10,713.94
  6. Step 6: Final answer
    x = 4,384.59

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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.