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Finding the Fourth Proportional to 8,170.40, 12,223.20 and 7,086.80

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Solution

The fourth proportional to 8,170.40, 12,223.20 and 7,086.80 is: 10,602.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,170.40 : 12,223.20 = 7,086.80 : x
  2. Step 2: Convert to fraction form
    8,170.40/12,223.20 = 7,086.80/x
  3. Step 3: Cross multiply
    8,170.40x = 12,223.20 × 7,086.80
  4. Step 4: Simplify right side
    8,170.40x = 86,623,373.76
  5. Step 5: Solve for x
    x = 86,623,373.76/8,170.40
  6. Step 6: Final answer
    x = 10,602.10

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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.