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Finding the Fourth Proportional to 10,134, 13,983.54 and 5,884.38

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Solution

The fourth proportional to 10,134, 13,983.54 and 5,884.38 is: 8,119.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,134 : 13,983.54 = 5,884.38 : x
  2. Step 2: Convert to fraction form
    10,134/13,983.54 = 5,884.38/x
  3. Step 3: Cross multiply
    10,134x = 13,983.54 × 5,884.38
  4. Step 4: Simplify right side
    10,134x = 82,284,463.11
  5. Step 5: Solve for x
    x = 82,284,463.11/10,134
  6. Step 6: Final answer
    x = 8,119.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.