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Finding the Fourth Proportional to 10,313.48, 14,231.88 and 5,837.12

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Solution

The fourth proportional to 10,313.48, 14,231.88 and 5,837.12 is: 8,054.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.48 : 14,231.88 = 5,837.12 : x
  2. Step 2: Convert to fraction form
    10,313.48/14,231.88 = 5,837.12/x
  3. Step 3: Cross multiply
    10,313.48x = 14,231.88 × 5,837.12
  4. Step 4: Simplify right side
    10,313.48x = 83,073,120.23
  5. Step 5: Solve for x
    x = 83,073,120.23/10,313.48
  6. Step 6: Final answer
    x = 8,054.81

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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.