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Finding the Fourth Proportional to 8,164.71, 12,247.02 and 2,970.59

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Solution

The fourth proportional to 8,164.71, 12,247.02 and 2,970.59 is: 4,455.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.71 : 12,247.02 = 2,970.59 : x
  2. Step 2: Convert to fraction form
    8,164.71/12,247.02 = 2,970.59/x
  3. Step 3: Cross multiply
    8,164.71x = 12,247.02 × 2,970.59
  4. Step 4: Simplify right side
    8,164.71x = 36,380,813.91
  5. Step 5: Solve for x
    x = 36,380,813.91/8,164.71
  6. Step 6: Final answer
    x = 4,455.86

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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.