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Finding the Fourth Proportional to 8,114.82, 12,172.30 and 2,920.70

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Solution

The fourth proportional to 8,114.82, 12,172.30 and 2,920.70 is: 4,381.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.82 : 12,172.30 = 2,920.70 : x
  2. Step 2: Convert to fraction form
    8,114.82/12,172.30 = 2,920.70/x
  3. Step 3: Cross multiply
    8,114.82x = 12,172.30 × 2,920.70
  4. Step 4: Simplify right side
    8,114.82x = 35,551,636.61
  5. Step 5: Solve for x
    x = 35,551,636.61/8,114.82
  6. Step 6: Final answer
    x = 4,381.08

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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.