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Finding the Fourth Proportional to 10,695.25, 14,759.17 and 5,849.80

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Solution

The fourth proportional to 10,695.25, 14,759.17 and 5,849.80 is: 8,072.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,695.25 : 14,759.17 = 5,849.80 : x
  2. Step 2: Convert to fraction form
    10,695.25/14,759.17 = 5,849.80/x
  3. Step 3: Cross multiply
    10,695.25x = 14,759.17 × 5,849.80
  4. Step 4: Simplify right side
    10,695.25x = 86,338,141.14
  5. Step 5: Solve for x
    x = 86,338,141.14/10,695.25
  6. Step 6: Final answer
    x = 8,072.57

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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.