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Finding the Fourth Proportional to 10,696.74, 14,761.59 and 6,220.62

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Solution

The fourth proportional to 10,696.74, 14,761.59 and 6,220.62 is: 8,584.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.74 : 14,761.59 = 6,220.62 : x
  2. Step 2: Convert to fraction form
    10,696.74/14,761.59 = 6,220.62/x
  3. Step 3: Cross multiply
    10,696.74x = 14,761.59 × 6,220.62
  4. Step 4: Simplify right side
    10,696.74x = 91,826,241.99
  5. Step 5: Solve for x
    x = 91,826,241.99/10,696.74
  6. Step 6: Final answer
    x = 8,584.51

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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.