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Finding the Fourth Proportional to 10,046.33, 15,072.43 and 4,498.44

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Solution

The fourth proportional to 10,046.33, 15,072.43 and 4,498.44 is: 6,748.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.33 : 15,072.43 = 4,498.44 : x
  2. Step 2: Convert to fraction form
    10,046.33/15,072.43 = 4,498.44/x
  3. Step 3: Cross multiply
    10,046.33x = 15,072.43 × 4,498.44
  4. Step 4: Simplify right side
    10,046.33x = 67,802,362.68
  5. Step 5: Solve for x
    x = 67,802,362.68/10,046.33
  6. Step 6: Final answer
    x = 6,748.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.