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Finding the Fourth Proportional to 8,126.67, 12,190.59 and 3,970.14

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Solution

The fourth proportional to 8,126.67, 12,190.59 and 3,970.14 is: 5,955.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,126.67 : 12,190.59 = 3,970.14 : x
  2. Step 2: Convert to fraction form
    8,126.67/12,190.59 = 3,970.14/x
  3. Step 3: Cross multiply
    8,126.67x = 12,190.59 × 3,970.14
  4. Step 4: Simplify right side
    8,126.67x = 48,398,348.98
  5. Step 5: Solve for x
    x = 48,398,348.98/8,126.67
  6. Step 6: Final answer
    x = 5,955.50

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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.