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Finding the Fourth Proportional to 8,740.32, 13,100.22 and 3,190.16

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Solution

The fourth proportional to 8,740.32, 13,100.22 and 3,190.16 is: 4,781.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,740.32 : 13,100.22 = 3,190.16 : x
  2. Step 2: Convert to fraction form
    8,740.32/13,100.22 = 3,190.16/x
  3. Step 3: Cross multiply
    8,740.32x = 13,100.22 × 3,190.16
  4. Step 4: Simplify right side
    8,740.32x = 41,791,732.33
  5. Step 5: Solve for x
    x = 41,791,732.33/8,740.32
  6. Step 6: Final answer
    x = 4,781.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.