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Finding the Fourth Proportional to 10,132.84, 13,986.66 and 5,941

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Solution

The fourth proportional to 10,132.84, 13,986.66 and 5,941 is: 8,200.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,132.84 : 13,986.66 = 5,941 : x
  2. Step 2: Convert to fraction form
    10,132.84/13,986.66 = 5,941/x
  3. Step 3: Cross multiply
    10,132.84x = 13,986.66 × 5,941
  4. Step 4: Simplify right side
    10,132.84x = 83,094,747.06
  5. Step 5: Solve for x
    x = 83,094,747.06/10,132.84
  6. Step 6: Final answer
    x = 8,200.54

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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.