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Finding the Fourth Proportional to 10,703.49, 14,770.38 and 5,923.14

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Solution

The fourth proportional to 10,703.49, 14,770.38 and 5,923.14 is: 8,173.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.49 : 14,770.38 = 5,923.14 : x
  2. Step 2: Convert to fraction form
    10,703.49/14,770.38 = 5,923.14/x
  3. Step 3: Cross multiply
    10,703.49x = 14,770.38 × 5,923.14
  4. Step 4: Simplify right side
    10,703.49x = 87,487,028.59
  5. Step 5: Solve for x
    x = 87,487,028.59/10,703.49
  6. Step 6: Final answer
    x = 8,173.69

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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.