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Finding the Fourth Proportional to 26,003, 39,010.98 and 7,535

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Solution

The fourth proportional to 26,003, 39,010.98 and 7,535 is: 11,304.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,003 : 39,010.98 = 7,535 : x
  2. Step 2: Convert to fraction form
    26,003/39,010.98 = 7,535/x
  3. Step 3: Cross multiply
    26,003x = 39,010.98 × 7,535
  4. Step 4: Simplify right side
    26,003x = 293,947,734.30
  5. Step 5: Solve for x
    x = 293,947,734.30/26,003
  6. Step 6: Final answer
    x = 11,304.38

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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.