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Finding the Fourth Proportional to 8,154.34, 11,255.66 and 7,440.73

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Solution

The fourth proportional to 8,154.34, 11,255.66 and 7,440.73 is: 10,270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.34 : 11,255.66 = 7,440.73 : x
  2. Step 2: Convert to fraction form
    8,154.34/11,255.66 = 7,440.73/x
  3. Step 3: Cross multiply
    8,154.34x = 11,255.66 × 7,440.73
  4. Step 4: Simplify right side
    8,154.34x = 83,750,289.59
  5. Step 5: Solve for x
    x = 83,750,289.59/8,154.34
  6. Step 6: Final answer
    x = 10,270.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.