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Finding the Fourth Proportional to 8,510.67, 12,766.34 and 2,964.58

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Solution

The fourth proportional to 8,510.67, 12,766.34 and 2,964.58 is: 4,446.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.67 : 12,766.34 = 2,964.58 : x
  2. Step 2: Convert to fraction form
    8,510.67/12,766.34 = 2,964.58/x
  3. Step 3: Cross multiply
    8,510.67x = 12,766.34 × 2,964.58
  4. Step 4: Simplify right side
    8,510.67x = 37,846,811.73
  5. Step 5: Solve for x
    x = 37,846,811.73/8,510.67
  6. Step 6: Final answer
    x = 4,446.98

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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.