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Finding the Fourth Proportional to 8,145.20, 12,203.40 and 7,223.60

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Solution

The fourth proportional to 8,145.20, 12,203.40 and 7,223.60 is: 10,822.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145.20 : 12,203.40 = 7,223.60 : x
  2. Step 2: Convert to fraction form
    8,145.20/12,203.40 = 7,223.60/x
  3. Step 3: Cross multiply
    8,145.20x = 12,203.40 × 7,223.60
  4. Step 4: Simplify right side
    8,145.20x = 88,152,480.24
  5. Step 5: Solve for x
    x = 88,152,480.24/8,145.20
  6. Step 6: Final answer
    x = 10,822.63

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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.