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Finding the Fourth Proportional to 7,166.46, 10,746.80 and 2,234.58

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Solution

The fourth proportional to 7,166.46, 10,746.80 and 2,234.58 is: 3,350.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.46 : 10,746.80 = 2,234.58 : x
  2. Step 2: Convert to fraction form
    7,166.46/10,746.80 = 2,234.58/x
  3. Step 3: Cross multiply
    7,166.46x = 10,746.80 × 2,234.58
  4. Step 4: Simplify right side
    7,166.46x = 24,014,584.34
  5. Step 5: Solve for x
    x = 24,014,584.34/7,166.46
  6. Step 6: Final answer
    x = 3,350.97

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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.