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Finding the Fourth Proportional to 10,729.56, 16,094.28 and 4,573.56

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Solution

The fourth proportional to 10,729.56, 16,094.28 and 4,573.56 is: 6,860.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.56 : 16,094.28 = 4,573.56 : x
  2. Step 2: Convert to fraction form
    10,729.56/16,094.28 = 4,573.56/x
  3. Step 3: Cross multiply
    10,729.56x = 16,094.28 × 4,573.56
  4. Step 4: Simplify right side
    10,729.56x = 73,608,155.24
  5. Step 5: Solve for x
    x = 73,608,155.24/10,729.56
  6. Step 6: Final answer
    x = 6,860.31

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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.