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Finding the Fourth Proportional to 8,406.13, 12,611.02 and 2,562.59

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Solution

The fourth proportional to 8,406.13, 12,611.02 and 2,562.59 is: 3,844.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.13 : 12,611.02 = 2,562.59 : x
  2. Step 2: Convert to fraction form
    8,406.13/12,611.02 = 2,562.59/x
  3. Step 3: Cross multiply
    8,406.13x = 12,611.02 × 2,562.59
  4. Step 4: Simplify right side
    8,406.13x = 32,316,873.74
  5. Step 5: Solve for x
    x = 32,316,873.74/8,406.13
  6. Step 6: Final answer
    x = 3,844.44

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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.