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Finding the Fourth Proportional to 10,696.14, 14,761.23 and 6,448.55

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Solution

The fourth proportional to 10,696.14, 14,761.23 and 6,448.55 is: 8,899.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.14 : 14,761.23 = 6,448.55 : x
  2. Step 2: Convert to fraction form
    10,696.14/14,761.23 = 6,448.55/x
  3. Step 3: Cross multiply
    10,696.14x = 14,761.23 × 6,448.55
  4. Step 4: Simplify right side
    10,696.14x = 95,188,455.91
  5. Step 5: Solve for x
    x = 95,188,455.91/10,696.14
  6. Step 6: Final answer
    x = 8,899.33

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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.