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Finding the Fourth Proportional to 10,159.11, 14,019.75 and 6,180.39

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Solution

The fourth proportional to 10,159.11, 14,019.75 and 6,180.39 is: 8,529.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,159.11 : 14,019.75 = 6,180.39 : x
  2. Step 2: Convert to fraction form
    10,159.11/14,019.75 = 6,180.39/x
  3. Step 3: Cross multiply
    10,159.11x = 14,019.75 × 6,180.39
  4. Step 4: Simplify right side
    10,159.11x = 86,647,522.70
  5. Step 5: Solve for x
    x = 86,647,522.70/10,159.11
  6. Step 6: Final answer
    x = 8,529.05

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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.