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Finding the Fourth Proportional to 26,523.88, 39,782.84 and 6,802.90

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Solution

The fourth proportional to 26,523.88, 39,782.84 and 6,802.90 is: 10,203.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,523.88 : 39,782.84 = 6,802.90 : x
  2. Step 2: Convert to fraction form
    26,523.88/39,782.84 = 6,802.90/x
  3. Step 3: Cross multiply
    26,523.88x = 39,782.84 × 6,802.90
  4. Step 4: Simplify right side
    26,523.88x = 270,638,599.79
  5. Step 5: Solve for x
    x = 270,638,599.79/26,523.88
  6. Step 6: Final answer
    x = 10,203.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.