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Finding the Fourth Proportional to 7,543.50, 11,311.59 and 4,424.51

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Solution

The fourth proportional to 7,543.50, 11,311.59 and 4,424.51 is: 6,634.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543.50 : 11,311.59 = 4,424.51 : x
  2. Step 2: Convert to fraction form
    7,543.50/11,311.59 = 4,424.51/x
  3. Step 3: Cross multiply
    7,543.50x = 11,311.59 × 4,424.51
  4. Step 4: Simplify right side
    7,543.50x = 50,048,287.94
  5. Step 5: Solve for x
    x = 50,048,287.94/7,543.50
  6. Step 6: Final answer
    x = 6,634.63

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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.