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Finding the Fourth Proportional to 10,338.99, 14,267.92 and 5,623.27

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Solution

The fourth proportional to 10,338.99, 14,267.92 and 5,623.27 is: 7,760.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,338.99 : 14,267.92 = 5,623.27 : x
  2. Step 2: Convert to fraction form
    10,338.99/14,267.92 = 5,623.27/x
  3. Step 3: Cross multiply
    10,338.99x = 14,267.92 × 5,623.27
  4. Step 4: Simplify right side
    10,338.99x = 80,232,366.50
  5. Step 5: Solve for x
    x = 80,232,366.50/10,338.99
  6. Step 6: Final answer
    x = 7,760.17

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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.