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Finding the Fourth Proportional to 10,313.92, 14,233 and 5,837.59

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Solution

The fourth proportional to 10,313.92, 14,233 and 5,837.59 is: 8,055.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.92 : 14,233 = 5,837.59 : x
  2. Step 2: Convert to fraction form
    10,313.92/14,233 = 5,837.59/x
  3. Step 3: Cross multiply
    10,313.92x = 14,233 × 5,837.59
  4. Step 4: Simplify right side
    10,313.92x = 83,086,418.47
  5. Step 5: Solve for x
    x = 83,086,418.47/10,313.92
  6. Step 6: Final answer
    x = 8,055.76

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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.