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Finding the Fourth Proportional to 10,214.66, 14,104.10 and 8,234.06

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Solution

The fourth proportional to 10,214.66, 14,104.10 and 8,234.06 is: 11,369.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.66 : 14,104.10 = 8,234.06 : x
  2. Step 2: Convert to fraction form
    10,214.66/14,104.10 = 8,234.06/x
  3. Step 3: Cross multiply
    10,214.66x = 14,104.10 × 8,234.06
  4. Step 4: Simplify right side
    10,214.66x = 116,133,932.55
  5. Step 5: Solve for x
    x = 116,133,932.55/10,214.66
  6. Step 6: Final answer
    x = 11,369.34

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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.