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Finding the Fourth Proportional to 10,313.78, 14,233.24 and 5,837.53

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Solution

The fourth proportional to 10,313.78, 14,233.24 and 5,837.53 is: 8,055.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.78 : 14,233.24 = 5,837.53 : x
  2. Step 2: Convert to fraction form
    10,313.78/14,233.24 = 5,837.53/x
  3. Step 3: Cross multiply
    10,313.78x = 14,233.24 × 5,837.53
  4. Step 4: Simplify right side
    10,313.78x = 83,086,931.06
  5. Step 5: Solve for x
    x = 83,086,931.06/10,313.78
  6. Step 6: Final answer
    x = 8,055.92

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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.