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Finding the Fourth Proportional to 10,214.86, 14,090.01 and 8,508.94

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Solution

The fourth proportional to 10,214.86, 14,090.01 and 8,508.94 is: 11,736.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.86 : 14,090.01 = 8,508.94 : x
  2. Step 2: Convert to fraction form
    10,214.86/14,090.01 = 8,508.94/x
  3. Step 3: Cross multiply
    10,214.86x = 14,090.01 × 8,508.94
  4. Step 4: Simplify right side
    10,214.86x = 119,891,049.69
  5. Step 5: Solve for x
    x = 119,891,049.69/10,214.86
  6. Step 6: Final answer
    x = 11,736.93

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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.