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Finding the Fourth Proportional to 10,285.69, 14,194.25 and 5,569.97

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Solution

The fourth proportional to 10,285.69, 14,194.25 and 5,569.97 is: 7,686.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.69 : 14,194.25 = 5,569.97 : x
  2. Step 2: Convert to fraction form
    10,285.69/14,194.25 = 5,569.97/x
  3. Step 3: Cross multiply
    10,285.69x = 14,194.25 × 5,569.97
  4. Step 4: Simplify right side
    10,285.69x = 79,061,546.67
  5. Step 5: Solve for x
    x = 79,061,546.67/10,285.69
  6. Step 6: Final answer
    x = 7,686.56

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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.