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Finding the Fourth Proportional to 8,064.22, 12,097.10 and 3,134.24

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Solution

The fourth proportional to 8,064.22, 12,097.10 and 3,134.24 is: 4,701.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064.22 : 12,097.10 = 3,134.24 : x
  2. Step 2: Convert to fraction form
    8,064.22/12,097.10 = 3,134.24/x
  3. Step 3: Cross multiply
    8,064.22x = 12,097.10 × 3,134.24
  4. Step 4: Simplify right side
    8,064.22x = 37,915,199.03
  5. Step 5: Solve for x
    x = 37,915,199.03/8,064.22
  6. Step 6: Final answer
    x = 4,701.66

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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.