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Finding the Fourth Proportional to 8,293.70, 12,422.33 and 7,200.20

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Solution

The fourth proportional to 8,293.70, 12,422.33 and 7,200.20 is: 10,784.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,293.70 : 12,422.33 = 7,200.20 : x
  2. Step 2: Convert to fraction form
    8,293.70/12,422.33 = 7,200.20/x
  3. Step 3: Cross multiply
    8,293.70x = 12,422.33 × 7,200.20
  4. Step 4: Simplify right side
    8,293.70x = 89,443,224.47
  5. Step 5: Solve for x
    x = 89,443,224.47/8,293.70
  6. Step 6: Final answer
    x = 10,784.48

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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.