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Finding the Fourth Proportional to 10,315.88, 14,236.26 and 5,839.54

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Solution

The fourth proportional to 10,315.88, 14,236.26 and 5,839.54 is: 8,058.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,315.88 : 14,236.26 = 5,839.54 : x
  2. Step 2: Convert to fraction form
    10,315.88/14,236.26 = 5,839.54/x
  3. Step 3: Cross multiply
    10,315.88x = 14,236.26 × 5,839.54
  4. Step 4: Simplify right side
    10,315.88x = 83,133,232.31
  5. Step 5: Solve for x
    x = 83,133,232.31/10,315.88
  6. Step 6: Final answer
    x = 8,058.76

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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.