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Finding the Fourth Proportional to 8,494.74, 12,742.11 and 2,651.40

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Solution

The fourth proportional to 8,494.74, 12,742.11 and 2,651.40 is: 3,977.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.74 : 12,742.11 = 2,651.40 : x
  2. Step 2: Convert to fraction form
    8,494.74/12,742.11 = 2,651.40/x
  3. Step 3: Cross multiply
    8,494.74x = 12,742.11 × 2,651.40
  4. Step 4: Simplify right side
    8,494.74x = 33,784,430.45
  5. Step 5: Solve for x
    x = 33,784,430.45/8,494.74
  6. Step 6: Final answer
    x = 3,977.10

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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.