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Finding the Fourth Proportional to 10,414.88, 14,368.12 and 6,383.28

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Solution

The fourth proportional to 10,414.88, 14,368.12 and 6,383.28 is: 8,806.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414.88 : 14,368.12 = 6,383.28 : x
  2. Step 2: Convert to fraction form
    10,414.88/14,368.12 = 6,383.28/x
  3. Step 3: Cross multiply
    10,414.88x = 14,368.12 × 6,383.28
  4. Step 4: Simplify right side
    10,414.88x = 91,715,733.03
  5. Step 5: Solve for x
    x = 91,715,733.03/10,414.88
  6. Step 6: Final answer
    x = 8,806.22

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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.