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Finding the Fourth Proportional to 10,313.98, 14,233.17 and 6,067.78

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Solution

The fourth proportional to 10,313.98, 14,233.17 and 6,067.78 is: 8,373.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.98 : 14,233.17 = 6,067.78 : x
  2. Step 2: Convert to fraction form
    10,313.98/14,233.17 = 6,067.78/x
  3. Step 3: Cross multiply
    10,313.98x = 14,233.17 × 6,067.78
  4. Step 4: Simplify right side
    10,313.98x = 86,363,744.26
  5. Step 5: Solve for x
    x = 86,363,744.26/10,313.98
  6. Step 6: Final answer
    x = 8,373.46

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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.