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Finding the Fourth Proportional to 7,333.38, 10,119.96 and 4,189.50

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Solution

The fourth proportional to 7,333.38, 10,119.96 and 4,189.50 is: 5,781.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,333.38 : 10,119.96 = 4,189.50 : x
  2. Step 2: Convert to fraction form
    7,333.38/10,119.96 = 4,189.50/x
  3. Step 3: Cross multiply
    7,333.38x = 10,119.96 × 4,189.50
  4. Step 4: Simplify right side
    7,333.38x = 42,397,572.42
  5. Step 5: Solve for x
    x = 42,397,572.42/7,333.38
  6. Step 6: Final answer
    x = 5,781.45

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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.