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Finding the Fourth Proportional to 10,494.44, 15,729.82 and 4,650.28

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Solution

The fourth proportional to 10,494.44, 15,729.82 and 4,650.28 is: 6,970.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.44 : 15,729.82 = 4,650.28 : x
  2. Step 2: Convert to fraction form
    10,494.44/15,729.82 = 4,650.28/x
  3. Step 3: Cross multiply
    10,494.44x = 15,729.82 × 4,650.28
  4. Step 4: Simplify right side
    10,494.44x = 73,148,067.35
  5. Step 5: Solve for x
    x = 73,148,067.35/10,494.44
  6. Step 6: Final answer
    x = 6,970.17

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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.