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Finding the Fourth Proportional to 7,517.32, 10,369.38 and 5,533

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Solution

The fourth proportional to 7,517.32, 10,369.38 and 5,533 is: 7,632.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,517.32 : 10,369.38 = 5,533 : x
  2. Step 2: Convert to fraction form
    7,517.32/10,369.38 = 5,533/x
  3. Step 3: Cross multiply
    7,517.32x = 10,369.38 × 5,533
  4. Step 4: Simplify right side
    7,517.32x = 57,373,779.54
  5. Step 5: Solve for x
    x = 57,373,779.54/7,517.32
  6. Step 6: Final answer
    x = 7,632.21

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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.