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Finding the Fourth Proportional to 10,696.86, 14,759.82 and 7,160.94

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Solution

The fourth proportional to 10,696.86, 14,759.82 and 7,160.94 is: 9,880.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.86 : 14,759.82 = 7,160.94 : x
  2. Step 2: Convert to fraction form
    10,696.86/14,759.82 = 7,160.94/x
  3. Step 3: Cross multiply
    10,696.86x = 14,759.82 × 7,160.94
  4. Step 4: Simplify right side
    10,696.86x = 105,694,185.43
  5. Step 5: Solve for x
    x = 105,694,185.43/10,696.86
  6. Step 6: Final answer
    x = 9,880.86

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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.