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Finding the Fourth Proportional to 10,695.26, 16,029.53 and 5,147.12

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Solution

The fourth proportional to 10,695.26, 16,029.53 and 5,147.12 is: 7,714.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,695.26 : 16,029.53 = 5,147.12 : x
  2. Step 2: Convert to fraction form
    10,695.26/16,029.53 = 5,147.12/x
  3. Step 3: Cross multiply
    10,695.26x = 16,029.53 × 5,147.12
  4. Step 4: Simplify right side
    10,695.26x = 82,505,914.45
  5. Step 5: Solve for x
    x = 82,505,914.45/10,695.26
  6. Step 6: Final answer
    x = 7,714.25

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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.