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Finding the Fourth Proportional to 10,338.86, 14,267.22 and 5,623.14

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Solution

The fourth proportional to 10,338.86, 14,267.22 and 5,623.14 is: 7,759.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,338.86 : 14,267.22 = 5,623.14 : x
  2. Step 2: Convert to fraction form
    10,338.86/14,267.22 = 5,623.14/x
  3. Step 3: Cross multiply
    10,338.86x = 14,267.22 × 5,623.14
  4. Step 4: Simplify right side
    10,338.86x = 80,226,575.47
  5. Step 5: Solve for x
    x = 80,226,575.47/10,338.86
  6. Step 6: Final answer
    x = 7,759.71

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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.