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Finding the Fourth Proportional to 8,834.31, 13,232.93 and 7,174.01

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Solution

The fourth proportional to 8,834.31, 13,232.93 and 7,174.01 is: 10,745.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,834.31 : 13,232.93 = 7,174.01 : x
  2. Step 2: Convert to fraction form
    8,834.31/13,232.93 = 7,174.01/x
  3. Step 3: Cross multiply
    8,834.31x = 13,232.93 × 7,174.01
  4. Step 4: Simplify right side
    8,834.31x = 94,933,172.15
  5. Step 5: Solve for x
    x = 94,933,172.15/8,834.31
  6. Step 6: Final answer
    x = 10,745.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.