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Finding the Fourth Proportional to 7,338.50, 11,003.65 and 2,406.81

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Solution

The fourth proportional to 7,338.50, 11,003.65 and 2,406.81 is: 3,608.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,338.50 : 11,003.65 = 2,406.81 : x
  2. Step 2: Convert to fraction form
    7,338.50/11,003.65 = 2,406.81/x
  3. Step 3: Cross multiply
    7,338.50x = 11,003.65 × 2,406.81
  4. Step 4: Simplify right side
    7,338.50x = 26,483,730.10
  5. Step 5: Solve for x
    x = 26,483,730.10/7,338.50
  6. Step 6: Final answer
    x = 3,608.88

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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.