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Finding the Fourth Proportional to 8,223.67, 11,349.35 and 4,687.21

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Solution

The fourth proportional to 8,223.67, 11,349.35 and 4,687.21 is: 6,468.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.67 : 11,349.35 = 4,687.21 : x
  2. Step 2: Convert to fraction form
    8,223.67/11,349.35 = 4,687.21/x
  3. Step 3: Cross multiply
    8,223.67x = 11,349.35 × 4,687.21
  4. Step 4: Simplify right side
    8,223.67x = 53,196,786.81
  5. Step 5: Solve for x
    x = 53,196,786.81/8,223.67
  6. Step 6: Final answer
    x = 6,468.74

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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.