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Finding the Fourth Proportional to 26,302, 39,459.84 and 7,834

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Solution

The fourth proportional to 26,302, 39,459.84 and 7,834 is: 11,753.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,302 : 39,459.84 = 7,834 : x
  2. Step 2: Convert to fraction form
    26,302/39,459.84 = 7,834/x
  3. Step 3: Cross multiply
    26,302x = 39,459.84 × 7,834
  4. Step 4: Simplify right side
    26,302x = 309,128,386.56
  5. Step 5: Solve for x
    x = 309,128,386.56/26,302
  6. Step 6: Final answer
    x = 11,753.04

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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.