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Finding the Fourth Proportional to 26,525.87, 39,782.63 and 7,800.90

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Solution

The fourth proportional to 26,525.87, 39,782.63 and 7,800.90 is: 11,699.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,525.87 : 39,782.63 = 7,800.90 : x
  2. Step 2: Convert to fraction form
    26,525.87/39,782.63 = 7,800.90/x
  3. Step 3: Cross multiply
    26,525.87x = 39,782.63 × 7,800.90
  4. Step 4: Simplify right side
    26,525.87x = 310,340,080.45
  5. Step 5: Solve for x
    x = 310,340,080.45/26,525.87
  6. Step 6: Final answer
    x = 11,699.53

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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.