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Finding the Fourth Proportional to 7,874.69, 11,812.03 and 7,393.55

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Solution

The fourth proportional to 7,874.69, 11,812.03 and 7,393.55 is: 11,090.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.69 : 11,812.03 = 7,393.55 : x
  2. Step 2: Convert to fraction form
    7,874.69/11,812.03 = 7,393.55/x
  3. Step 3: Cross multiply
    7,874.69x = 11,812.03 × 7,393.55
  4. Step 4: Simplify right side
    7,874.69x = 87,332,756.86
  5. Step 5: Solve for x
    x = 87,332,756.86/7,874.69
  6. Step 6: Final answer
    x = 11,090.32

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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.