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Finding the Fourth Proportional to 10,066.38, 13,892.82 and 6,087.86

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Solution

The fourth proportional to 10,066.38, 13,892.82 and 6,087.86 is: 8,401.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,066.38 : 13,892.82 = 6,087.86 : x
  2. Step 2: Convert to fraction form
    10,066.38/13,892.82 = 6,087.86/x
  3. Step 3: Cross multiply
    10,066.38x = 13,892.82 × 6,087.86
  4. Step 4: Simplify right side
    10,066.38x = 84,577,502.97
  5. Step 5: Solve for x
    x = 84,577,502.97/10,066.38
  6. Step 6: Final answer
    x = 8,401.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.