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Finding the Fourth Proportional to 8,221.34, 11,345.42 and 4,684.61

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Solution

The fourth proportional to 8,221.34, 11,345.42 and 4,684.61 is: 6,464.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.34 : 11,345.42 = 4,684.61 : x
  2. Step 2: Convert to fraction form
    8,221.34/11,345.42 = 4,684.61/x
  3. Step 3: Cross multiply
    8,221.34x = 11,345.42 × 4,684.61
  4. Step 4: Simplify right side
    8,221.34x = 53,148,822.97
  5. Step 5: Solve for x
    x = 53,148,822.97/8,221.34
  6. Step 6: Final answer
    x = 6,464.74

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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.