Home / 10,026.24-15,027.72-3,782.25

Finding the Fourth Proportional to 10,026.24, 15,027.72 and 3,782.25

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Solution

The fourth proportional to 10,026.24, 15,027.72 and 3,782.25 is: 5,668.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,026.24 : 15,027.72 = 3,782.25 : x
  2. Step 2: Convert to fraction form
    10,026.24/15,027.72 = 3,782.25/x
  3. Step 3: Cross multiply
    10,026.24x = 15,027.72 × 3,782.25
  4. Step 4: Simplify right side
    10,026.24x = 56,838,593.97
  5. Step 5: Solve for x
    x = 56,838,593.97/10,026.24
  6. Step 6: Final answer
    x = 5,668.98

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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.