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Finding the Fourth Proportional to 7,573.50, 11,360.66 and 2,379.78

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Solution

The fourth proportional to 7,573.50, 11,360.66 and 2,379.78 is: 3,569.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,573.50 : 11,360.66 = 2,379.78 : x
  2. Step 2: Convert to fraction form
    7,573.50/11,360.66 = 2,379.78/x
  3. Step 3: Cross multiply
    7,573.50x = 11,360.66 × 2,379.78
  4. Step 4: Simplify right side
    7,573.50x = 27,035,859.56
  5. Step 5: Solve for x
    x = 27,035,859.56/7,573.50
  6. Step 6: Final answer
    x = 3,569.80

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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.