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Finding the Fourth Proportional to 26,509.31, 39,763.05 and 6,788.04

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Solution

The fourth proportional to 26,509.31, 39,763.05 and 6,788.04 is: 10,181.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,509.31 : 39,763.05 = 6,788.04 : x
  2. Step 2: Convert to fraction form
    26,509.31/39,763.05 = 6,788.04/x
  3. Step 3: Cross multiply
    26,509.31x = 39,763.05 × 6,788.04
  4. Step 4: Simplify right side
    26,509.31x = 269,913,173.92
  5. Step 5: Solve for x
    x = 269,913,173.92/26,509.31
  6. Step 6: Final answer
    x = 10,181.83

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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.