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Finding the Fourth Proportional to 8,191.84, 12,272.34 and 4,850.20

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Solution

The fourth proportional to 8,191.84, 12,272.34 and 4,850.20 is: 7,266.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.84 : 12,272.34 = 4,850.20 : x
  2. Step 2: Convert to fraction form
    8,191.84/12,272.34 = 4,850.20/x
  3. Step 3: Cross multiply
    8,191.84x = 12,272.34 × 4,850.20
  4. Step 4: Simplify right side
    8,191.84x = 59,523,303.47
  5. Step 5: Solve for x
    x = 59,523,303.47/8,191.84
  6. Step 6: Final answer
    x = 7,266.17

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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.