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Finding the Fourth Proportional to 8,230.85, 11,349.56 and 5,573.64

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Solution

The fourth proportional to 8,230.85, 11,349.56 and 5,573.64 is: 7,685.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.85 : 11,349.56 = 5,573.64 : x
  2. Step 2: Convert to fraction form
    8,230.85/11,349.56 = 5,573.64/x
  3. Step 3: Cross multiply
    8,230.85x = 11,349.56 × 5,573.64
  4. Step 4: Simplify right side
    8,230.85x = 63,258,333.73
  5. Step 5: Solve for x
    x = 63,258,333.73/8,230.85
  6. Step 6: Final answer
    x = 7,685.52

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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.