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Finding the Fourth Proportional to 26,132, 39,204.51 and 7,664

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Solution

The fourth proportional to 26,132, 39,204.51 and 7,664 is: 11,497.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,132 : 39,204.51 = 7,664 : x
  2. Step 2: Convert to fraction form
    26,132/39,204.51 = 7,664/x
  3. Step 3: Cross multiply
    26,132x = 39,204.51 × 7,664
  4. Step 4: Simplify right side
    26,132x = 300,463,364.64
  5. Step 5: Solve for x
    x = 300,463,364.64/26,132
  6. Step 6: Final answer
    x = 11,497.91

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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.