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Finding the Fourth Proportional to 8,146.66, 12,211.44 and 3,465.58

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Solution

The fourth proportional to 8,146.66, 12,211.44 and 3,465.58 is: 5,194.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.66 : 12,211.44 = 3,465.58 : x
  2. Step 2: Convert to fraction form
    8,146.66/12,211.44 = 3,465.58/x
  3. Step 3: Cross multiply
    8,146.66x = 12,211.44 × 3,465.58
  4. Step 4: Simplify right side
    8,146.66x = 42,319,722.24
  5. Step 5: Solve for x
    x = 42,319,722.24/8,146.66
  6. Step 6: Final answer
    x = 5,194.73

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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.