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Finding the Fourth Proportional to 8,116, 12,180.12 and 4,220.08

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Solution

The fourth proportional to 8,116, 12,180.12 and 4,220.08 is: 6,333.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116 : 12,180.12 = 4,220.08 : x
  2. Step 2: Convert to fraction form
    8,116/12,180.12 = 4,220.08/x
  3. Step 3: Cross multiply
    8,116x = 12,180.12 × 4,220.08
  4. Step 4: Simplify right side
    8,116x = 51,401,080.81
  5. Step 5: Solve for x
    x = 51,401,080.81/8,116
  6. Step 6: Final answer
    x = 6,333.30

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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.