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Finding the Fourth Proportional to 10,338.89, 14,267.67 and 5,623.17

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Solution

The fourth proportional to 10,338.89, 14,267.67 and 5,623.17 is: 7,759.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,338.89 : 14,267.67 = 5,623.17 : x
  2. Step 2: Convert to fraction form
    10,338.89/14,267.67 = 5,623.17/x
  3. Step 3: Cross multiply
    10,338.89x = 14,267.67 × 5,623.17
  4. Step 4: Simplify right side
    10,338.89x = 80,229,555.39
  5. Step 5: Solve for x
    x = 80,229,555.39/10,338.89
  6. Step 6: Final answer
    x = 7,759.98

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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.