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Finding the Fourth Proportional to 10,759.39, 16,140.08 and 4,186.07

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Solution

The fourth proportional to 10,759.39, 16,140.08 and 4,186.07 is: 6,279.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,759.39 : 16,140.08 = 4,186.07 : x
  2. Step 2: Convert to fraction form
    10,759.39/16,140.08 = 4,186.07/x
  3. Step 3: Cross multiply
    10,759.39x = 16,140.08 × 4,186.07
  4. Step 4: Simplify right side
    10,759.39x = 67,563,524.11
  5. Step 5: Solve for x
    x = 67,563,524.11/10,759.39
  6. Step 6: Final answer
    x = 6,279.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.