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Finding the Fourth Proportional to 10,536.12, 15,769.89 and 7,761.70

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Solution

The fourth proportional to 10,536.12, 15,769.89 and 7,761.70 is: 11,617.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536.12 : 15,769.89 = 7,761.70 : x
  2. Step 2: Convert to fraction form
    10,536.12/15,769.89 = 7,761.70/x
  3. Step 3: Cross multiply
    10,536.12x = 15,769.89 × 7,761.70
  4. Step 4: Simplify right side
    10,536.12x = 122,401,155.21
  5. Step 5: Solve for x
    x = 122,401,155.21/10,536.12
  6. Step 6: Final answer
    x = 11,617.29

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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.