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Finding the Fourth Proportional to 10,765.80, 16,126.65 and 6,372.54

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Solution

The fourth proportional to 10,765.80, 16,126.65 and 6,372.54 is: 9,545.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.80 : 16,126.65 = 6,372.54 : x
  2. Step 2: Convert to fraction form
    10,765.80/16,126.65 = 6,372.54/x
  3. Step 3: Cross multiply
    10,765.80x = 16,126.65 × 6,372.54
  4. Step 4: Simplify right side
    10,765.80x = 102,767,722.19
  5. Step 5: Solve for x
    x = 102,767,722.19/10,765.80
  6. Step 6: Final answer
    x = 9,545.76

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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.