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Finding the Fourth Proportional to 7,535.38, 10,399.13 and 4,550.63

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Solution

The fourth proportional to 7,535.38, 10,399.13 and 4,550.63 is: 6,280.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,535.38 : 10,399.13 = 4,550.63 : x
  2. Step 2: Convert to fraction form
    7,535.38/10,399.13 = 4,550.63/x
  3. Step 3: Cross multiply
    7,535.38x = 10,399.13 × 4,550.63
  4. Step 4: Simplify right side
    7,535.38x = 47,322,619.36
  5. Step 5: Solve for x
    x = 47,322,619.36/7,535.38
  6. Step 6: Final answer
    x = 6,280.06

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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.