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Finding the Fourth Proportional to 10,189.69, 14,050.47 and 7,200.39

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Solution

The fourth proportional to 10,189.69, 14,050.47 and 7,200.39 is: 9,928.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,189.69 : 14,050.47 = 7,200.39 : x
  2. Step 2: Convert to fraction form
    10,189.69/14,050.47 = 7,200.39/x
  3. Step 3: Cross multiply
    10,189.69x = 14,050.47 × 7,200.39
  4. Step 4: Simplify right side
    10,189.69x = 101,168,793.43
  5. Step 5: Solve for x
    x = 101,168,793.43/10,189.69
  6. Step 6: Final answer
    x = 9,928.54

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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.