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Finding the Fourth Proportional to 10,729.45, 16,094.89 and 3,710.15

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Solution

The fourth proportional to 10,729.45, 16,094.89 and 3,710.15 is: 5,565.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.45 : 16,094.89 = 3,710.15 : x
  2. Step 2: Convert to fraction form
    10,729.45/16,094.89 = 3,710.15/x
  3. Step 3: Cross multiply
    10,729.45x = 16,094.89 × 3,710.15
  4. Step 4: Simplify right side
    10,729.45x = 59,714,375.66
  5. Step 5: Solve for x
    x = 59,714,375.66/10,729.45
  6. Step 6: Final answer
    x = 5,565.47

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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.