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Finding the Fourth Proportional to 26,004, 39,012.48 and 7,536

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Solution

The fourth proportional to 26,004, 39,012.48 and 7,536 is: 11,305.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,004 : 39,012.48 = 7,536 : x
  2. Step 2: Convert to fraction form
    26,004/39,012.48 = 7,536/x
  3. Step 3: Cross multiply
    26,004x = 39,012.48 × 7,536
  4. Step 4: Simplify right side
    26,004x = 293,998,049.28
  5. Step 5: Solve for x
    x = 293,998,049.28/26,004
  6. Step 6: Final answer
    x = 11,305.88

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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.