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Finding the Fourth Proportional to 10,194.36, 14,068.11 and 6,215.22

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Solution

The fourth proportional to 10,194.36, 14,068.11 and 6,215.22 is: 8,576.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.36 : 14,068.11 = 6,215.22 : x
  2. Step 2: Convert to fraction form
    10,194.36/14,068.11 = 6,215.22/x
  3. Step 3: Cross multiply
    10,194.36x = 14,068.11 × 6,215.22
  4. Step 4: Simplify right side
    10,194.36x = 87,436,398.63
  5. Step 5: Solve for x
    x = 87,436,398.63/10,194.36
  6. Step 6: Final answer
    x = 8,576.94

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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.