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Finding the Fourth Proportional to 8,230.64, 11,358.20 and 4,453.72

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Solution

The fourth proportional to 8,230.64, 11,358.20 and 4,453.72 is: 6,146.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.64 : 11,358.20 = 4,453.72 : x
  2. Step 2: Convert to fraction form
    8,230.64/11,358.20 = 4,453.72/x
  3. Step 3: Cross multiply
    8,230.64x = 11,358.20 × 4,453.72
  4. Step 4: Simplify right side
    8,230.64x = 50,586,242.50
  5. Step 5: Solve for x
    x = 50,586,242.50/8,230.64
  6. Step 6: Final answer
    x = 6,146.09

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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.