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Finding the Fourth Proportional to 8,116.70, 12,175.05 and 4,180.10

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Solution

The fourth proportional to 8,116.70, 12,175.05 and 4,180.10 is: 6,270.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116.70 : 12,175.05 = 4,180.10 : x
  2. Step 2: Convert to fraction form
    8,116.70/12,175.05 = 4,180.10/x
  3. Step 3: Cross multiply
    8,116.70x = 12,175.05 × 4,180.10
  4. Step 4: Simplify right side
    8,116.70x = 50,892,926.51
  5. Step 5: Solve for x
    x = 50,892,926.51/8,116.70
  6. Step 6: Final answer
    x = 6,270.15

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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.