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Finding the Fourth Proportional to 10,469.82, 14,448.36 and 5,689.80

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Solution

The fourth proportional to 10,469.82, 14,448.36 and 5,689.80 is: 7,851.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.82 : 14,448.36 = 5,689.80 : x
  2. Step 2: Convert to fraction form
    10,469.82/14,448.36 = 5,689.80/x
  3. Step 3: Cross multiply
    10,469.82x = 14,448.36 × 5,689.80
  4. Step 4: Simplify right side
    10,469.82x = 82,208,278.73
  5. Step 5: Solve for x
    x = 82,208,278.73/10,469.82
  6. Step 6: Final answer
    x = 7,851.93

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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.