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Finding the Fourth Proportional to 10,313.83, 14,232.81 and 5,837.77

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Solution

The fourth proportional to 10,313.83, 14,232.81 and 5,837.77 is: 8,055.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.83 : 14,232.81 = 5,837.77 : x
  2. Step 2: Convert to fraction form
    10,313.83/14,232.81 = 5,837.77/x
  3. Step 3: Cross multiply
    10,313.83x = 14,232.81 × 5,837.77
  4. Step 4: Simplify right side
    10,313.83x = 83,087,910.92
  5. Step 5: Solve for x
    x = 83,087,910.92/10,313.83
  6. Step 6: Final answer
    x = 8,055.97

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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.