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Finding the Fourth Proportional to 8,244.33, 11,377.74 and 4,658.05

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Solution

The fourth proportional to 8,244.33, 11,377.74 and 4,658.05 is: 6,428.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,244.33 : 11,377.74 = 4,658.05 : x
  2. Step 2: Convert to fraction form
    8,244.33/11,377.74 = 4,658.05/x
  3. Step 3: Cross multiply
    8,244.33x = 11,377.74 × 4,658.05
  4. Step 4: Simplify right side
    8,244.33x = 52,998,001.63
  5. Step 5: Solve for x
    x = 52,998,001.63/8,244.33
  6. Step 6: Final answer
    x = 6,428.42

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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.