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Finding the Fourth Proportional to 7,565.74, 11,356.85 and 5,736.85

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Solution

The fourth proportional to 7,565.74, 11,356.85 and 5,736.85 is: 8,611.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.74 : 11,356.85 = 5,736.85 : x
  2. Step 2: Convert to fraction form
    7,565.74/11,356.85 = 5,736.85/x
  3. Step 3: Cross multiply
    7,565.74x = 11,356.85 × 5,736.85
  4. Step 4: Simplify right side
    7,565.74x = 65,152,530.87
  5. Step 5: Solve for x
    x = 65,152,530.87/7,565.74
  6. Step 6: Final answer
    x = 8,611.52

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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.