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Finding the Fourth Proportional to 10,535.12, 15,768.39 and 7,760.70

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Solution

The fourth proportional to 10,535.12, 15,768.39 and 7,760.70 is: 11,615.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,535.12 : 15,768.39 = 7,760.70 : x
  2. Step 2: Convert to fraction form
    10,535.12/15,768.39 = 7,760.70/x
  3. Step 3: Cross multiply
    10,535.12x = 15,768.39 × 7,760.70
  4. Step 4: Simplify right side
    10,535.12x = 122,373,744.27
  5. Step 5: Solve for x
    x = 122,373,744.27/10,535.12
  6. Step 6: Final answer
    x = 11,615.79

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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.