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Finding the Fourth Proportional to 8,229.63, 11,356.98 and 4,693.05

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Solution

The fourth proportional to 8,229.63, 11,356.98 and 4,693.05 is: 6,476.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.63 : 11,356.98 = 4,693.05 : x
  2. Step 2: Convert to fraction form
    8,229.63/11,356.98 = 4,693.05/x
  3. Step 3: Cross multiply
    8,229.63x = 11,356.98 × 4,693.05
  4. Step 4: Simplify right side
    8,229.63x = 53,298,874.99
  5. Step 5: Solve for x
    x = 53,298,874.99/8,229.63
  6. Step 6: Final answer
    x = 6,476.46

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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.