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Finding the Fourth Proportional to 8,161.40, 12,242.10 and 4,695.80

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Solution

The fourth proportional to 8,161.40, 12,242.10 and 4,695.80 is: 7,043.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.40 : 12,242.10 = 4,695.80 : x
  2. Step 2: Convert to fraction form
    8,161.40/12,242.10 = 4,695.80/x
  3. Step 3: Cross multiply
    8,161.40x = 12,242.10 × 4,695.80
  4. Step 4: Simplify right side
    8,161.40x = 57,486,453.18
  5. Step 5: Solve for x
    x = 57,486,453.18/8,161.40
  6. Step 6: Final answer
    x = 7,043.70

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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.