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Finding the Fourth Proportional to 8,517.51, 12,772.21 and 2,970.17

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Solution

The fourth proportional to 8,517.51, 12,772.21 and 2,970.17 is: 4,453.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517.51 : 12,772.21 = 2,970.17 : x
  2. Step 2: Convert to fraction form
    8,517.51/12,772.21 = 2,970.17/x
  3. Step 3: Cross multiply
    8,517.51x = 12,772.21 × 2,970.17
  4. Step 4: Simplify right side
    8,517.51x = 37,935,634.98
  5. Step 5: Solve for x
    x = 37,935,634.98/8,517.51
  6. Step 6: Final answer
    x = 4,453.84

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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.