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Finding the Fourth Proportional to 8,510.61, 12,766.29 and 2,964.39

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Solution

The fourth proportional to 8,510.61, 12,766.29 and 2,964.39 is: 4,446.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.61 : 12,766.29 = 2,964.39 : x
  2. Step 2: Convert to fraction form
    8,510.61/12,766.29 = 2,964.39/x
  3. Step 3: Cross multiply
    8,510.61x = 12,766.29 × 2,964.39
  4. Step 4: Simplify right side
    8,510.61x = 37,844,262.41
  5. Step 5: Solve for x
    x = 37,844,262.41/8,510.61
  6. Step 6: Final answer
    x = 4,446.72

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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.