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Finding the Fourth Proportional to 7,333.19, 10,119.90 and 4,189.38

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Solution

The fourth proportional to 7,333.19, 10,119.90 and 4,189.38 is: 5,781.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,333.19 : 10,119.90 = 4,189.38 : x
  2. Step 2: Convert to fraction form
    7,333.19/10,119.90 = 4,189.38/x
  3. Step 3: Cross multiply
    7,333.19x = 10,119.90 × 4,189.38
  4. Step 4: Simplify right side
    7,333.19x = 42,396,106.66
  5. Step 5: Solve for x
    x = 42,396,106.66/7,333.19
  6. Step 6: Final answer
    x = 5,781.40

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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.