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Finding the Fourth Proportional to 8,172.26, 12,238.95 and 4,702.22

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Solution

The fourth proportional to 8,172.26, 12,238.95 and 4,702.22 is: 7,042.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.26 : 12,238.95 = 4,702.22 : x
  2. Step 2: Convert to fraction form
    8,172.26/12,238.95 = 4,702.22/x
  3. Step 3: Cross multiply
    8,172.26x = 12,238.95 × 4,702.22
  4. Step 4: Simplify right side
    8,172.26x = 57,550,174.27
  5. Step 5: Solve for x
    x = 57,550,174.27/8,172.26
  6. Step 6: Final answer
    x = 7,042.14

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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.