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Finding the Fourth Proportional to 10,365.99, 14,305.09 and 5,891.23

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Solution

The fourth proportional to 10,365.99, 14,305.09 and 5,891.23 is: 8,129.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.99 : 14,305.09 = 5,891.23 : x
  2. Step 2: Convert to fraction form
    10,365.99/14,305.09 = 5,891.23/x
  3. Step 3: Cross multiply
    10,365.99x = 14,305.09 × 5,891.23
  4. Step 4: Simplify right side
    10,365.99x = 84,274,503.84
  5. Step 5: Solve for x
    x = 84,274,503.84/10,365.99
  6. Step 6: Final answer
    x = 8,129.91

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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.