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Finding the Fourth Proportional to 7,765.20, 11,612.03 and 5,767.67

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Solution

The fourth proportional to 7,765.20, 11,612.03 and 5,767.67 is: 8,624.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.20 : 11,612.03 = 5,767.67 : x
  2. Step 2: Convert to fraction form
    7,765.20/11,612.03 = 5,767.67/x
  3. Step 3: Cross multiply
    7,765.20x = 11,612.03 × 5,767.67
  4. Step 4: Simplify right side
    7,765.20x = 66,974,357.26
  5. Step 5: Solve for x
    x = 66,974,357.26/7,765.20
  6. Step 6: Final answer
    x = 8,624.94

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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.