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Finding the Fourth Proportional to 7,164.87, 10,749.29 and 3,003.90

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Solution

The fourth proportional to 7,164.87, 10,749.29 and 3,003.90 is: 4,506.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.87 : 10,749.29 = 3,003.90 : x
  2. Step 2: Convert to fraction form
    7,164.87/10,749.29 = 3,003.90/x
  3. Step 3: Cross multiply
    7,164.87x = 10,749.29 × 3,003.90
  4. Step 4: Simplify right side
    7,164.87x = 32,289,723.47
  5. Step 5: Solve for x
    x = 32,289,723.47/7,164.87
  6. Step 6: Final answer
    x = 4,506.68

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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.