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Finding the Fourth Proportional to 8,113.94, 12,170.88 and 3,180.10

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Solution

The fourth proportional to 8,113.94, 12,170.88 and 3,180.10 is: 4,770.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.94 : 12,170.88 = 3,180.10 : x
  2. Step 2: Convert to fraction form
    8,113.94/12,170.88 = 3,180.10/x
  3. Step 3: Cross multiply
    8,113.94x = 12,170.88 × 3,180.10
  4. Step 4: Simplify right side
    8,113.94x = 38,704,585.06
  5. Step 5: Solve for x
    x = 38,704,585.06/8,113.94
  6. Step 6: Final answer
    x = 4,770.13

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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.