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Finding the Fourth Proportional to 26,468.84, 39,709 and 7,750.42

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Solution

The fourth proportional to 26,468.84, 39,709 and 7,750.42 is: 11,627.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,468.84 : 39,709 = 7,750.42 : x
  2. Step 2: Convert to fraction form
    26,468.84/39,709 = 7,750.42/x
  3. Step 3: Cross multiply
    26,468.84x = 39,709 × 7,750.42
  4. Step 4: Simplify right side
    26,468.84x = 307,761,427.78
  5. Step 5: Solve for x
    x = 307,761,427.78/26,468.84
  6. Step 6: Final answer
    x = 11,627.31

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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.