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Finding the Fourth Proportional to 10,338.88, 14,267.67 and 5,623.24

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Solution

The fourth proportional to 10,338.88, 14,267.67 and 5,623.24 is: 7,760.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,338.88 : 14,267.67 = 5,623.24 : x
  2. Step 2: Convert to fraction form
    10,338.88/14,267.67 = 5,623.24/x
  3. Step 3: Cross multiply
    10,338.88x = 14,267.67 × 5,623.24
  4. Step 4: Simplify right side
    10,338.88x = 80,230,532.65
  5. Step 5: Solve for x
    x = 80,230,532.65/10,338.88
  6. Step 6: Final answer
    x = 7,760.08

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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.