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Finding the Fourth Proportional to 10,119.87, 13,963.95 and 5,812.38

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Solution

The fourth proportional to 10,119.87, 13,963.95 and 5,812.38 is: 8,020.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,119.87 : 13,963.95 = 5,812.38 : x
  2. Step 2: Convert to fraction form
    10,119.87/13,963.95 = 5,812.38/x
  3. Step 3: Cross multiply
    10,119.87x = 13,963.95 × 5,812.38
  4. Step 4: Simplify right side
    10,119.87x = 81,163,783.70
  5. Step 5: Solve for x
    x = 81,163,783.70/10,119.87
  6. Step 6: Final answer
    x = 8,020.24

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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.