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Finding the Fourth Proportional to 7,543.57, 11,317.79 and 5,350.50

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Solution

The fourth proportional to 7,543.57, 11,317.79 and 5,350.50 is: 8,027.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543.57 : 11,317.79 = 5,350.50 : x
  2. Step 2: Convert to fraction form
    7,543.57/11,317.79 = 5,350.50/x
  3. Step 3: Cross multiply
    7,543.57x = 11,317.79 × 5,350.50
  4. Step 4: Simplify right side
    7,543.57x = 60,555,835.40
  5. Step 5: Solve for x
    x = 60,555,835.40/7,543.57
  6. Step 6: Final answer
    x = 8,027.48

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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.