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Finding the Fourth Proportional to 7,530.50, 11,302.73 and 5,424.30

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Solution

The fourth proportional to 7,530.50, 11,302.73 and 5,424.30 is: 8,141.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,530.50 : 11,302.73 = 5,424.30 : x
  2. Step 2: Convert to fraction form
    7,530.50/11,302.73 = 5,424.30/x
  3. Step 3: Cross multiply
    7,530.50x = 11,302.73 × 5,424.30
  4. Step 4: Simplify right side
    7,530.50x = 61,309,398.34
  5. Step 5: Solve for x
    x = 61,309,398.34/7,530.50
  6. Step 6: Final answer
    x = 8,141.48

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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.