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Finding the Fourth Proportional to 8,380.61, 11,564.78 and 5,728.67

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Solution

The fourth proportional to 8,380.61, 11,564.78 and 5,728.67 is: 7,905.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.61 : 11,564.78 = 5,728.67 : x
  2. Step 2: Convert to fraction form
    8,380.61/11,564.78 = 5,728.67/x
  3. Step 3: Cross multiply
    8,380.61x = 11,564.78 × 5,728.67
  4. Step 4: Simplify right side
    8,380.61x = 66,250,721.78
  5. Step 5: Solve for x
    x = 66,250,721.78/8,380.61
  6. Step 6: Final answer
    x = 7,905.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.