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Finding the Fourth Proportional to 26,306, 39,465.84 and 7,838

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Solution

The fourth proportional to 26,306, 39,465.84 and 7,838 is: 11,759.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,306 : 39,465.84 = 7,838 : x
  2. Step 2: Convert to fraction form
    26,306/39,465.84 = 7,838/x
  3. Step 3: Cross multiply
    26,306x = 39,465.84 × 7,838
  4. Step 4: Simplify right side
    26,306x = 309,333,253.92
  5. Step 5: Solve for x
    x = 309,333,253.92/26,306
  6. Step 6: Final answer
    x = 11,759.04

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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.