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Finding the Fourth Proportional to 10,729.36, 16,092.06 and 4,487.68

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Solution

The fourth proportional to 10,729.36, 16,092.06 and 4,487.68 is: 6,730.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.36 : 16,092.06 = 4,487.68 : x
  2. Step 2: Convert to fraction form
    10,729.36/16,092.06 = 4,487.68/x
  3. Step 3: Cross multiply
    10,729.36x = 16,092.06 × 4,487.68
  4. Step 4: Simplify right side
    10,729.36x = 72,216,015.82
  5. Step 5: Solve for x
    x = 72,216,015.82/10,729.36
  6. Step 6: Final answer
    x = 6,730.69

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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.