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Finding the Fourth Proportional to 10,754.98, 16,131.83 and 6,595.63

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Solution

The fourth proportional to 10,754.98, 16,131.83 and 6,595.63 is: 9,893.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,754.98 : 16,131.83 = 6,595.63 : x
  2. Step 2: Convert to fraction form
    10,754.98/16,131.83 = 6,595.63/x
  3. Step 3: Cross multiply
    10,754.98x = 16,131.83 × 6,595.63
  4. Step 4: Simplify right side
    10,754.98x = 106,399,508.60
  5. Step 5: Solve for x
    x = 106,399,508.60/10,754.98
  6. Step 6: Final answer
    x = 9,893.05

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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.