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Finding the Fourth Proportional to 7,565.04, 11,334.52 and 5,902.44

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Solution

The fourth proportional to 7,565.04, 11,334.52 and 5,902.44 is: 8,843.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.04 : 11,334.52 = 5,902.44 : x
  2. Step 2: Convert to fraction form
    7,565.04/11,334.52 = 5,902.44/x
  3. Step 3: Cross multiply
    7,565.04x = 11,334.52 × 5,902.44
  4. Step 4: Simplify right side
    7,565.04x = 66,901,324.23
  5. Step 5: Solve for x
    x = 66,901,324.23/7,565.04
  6. Step 6: Final answer
    x = 8,843.49

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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.