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Finding the Fourth Proportional to 7,147.72, 10,726.80 and 7,093.42

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Solution

The fourth proportional to 7,147.72, 10,726.80 and 7,093.42 is: 10,645.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.72 : 10,726.80 = 7,093.42 : x
  2. Step 2: Convert to fraction form
    7,147.72/10,726.80 = 7,093.42/x
  3. Step 3: Cross multiply
    7,147.72x = 10,726.80 × 7,093.42
  4. Step 4: Simplify right side
    7,147.72x = 76,089,697.66
  5. Step 5: Solve for x
    x = 76,089,697.66/7,147.72
  6. Step 6: Final answer
    x = 10,645.31

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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.