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Finding the Fourth Proportional to 8,420.60, 12,611.46 and 5,491.64

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Solution

The fourth proportional to 8,420.60, 12,611.46 and 5,491.64 is: 8,224.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.60 : 12,611.46 = 5,491.64 : x
  2. Step 2: Convert to fraction form
    8,420.60/12,611.46 = 5,491.64/x
  3. Step 3: Cross multiply
    8,420.60x = 12,611.46 × 5,491.64
  4. Step 4: Simplify right side
    8,420.60x = 69,257,598.19
  5. Step 5: Solve for x
    x = 69,257,598.19/8,420.60
  6. Step 6: Final answer
    x = 8,224.78

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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.