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Finding the Fourth Proportional to 8,151.64, 12,228.06 and 2,308.24

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Solution

The fourth proportional to 8,151.64, 12,228.06 and 2,308.24 is: 3,462.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.64 : 12,228.06 = 2,308.24 : x
  2. Step 2: Convert to fraction form
    8,151.64/12,228.06 = 2,308.24/x
  3. Step 3: Cross multiply
    8,151.64x = 12,228.06 × 2,308.24
  4. Step 4: Simplify right side
    8,151.64x = 28,225,297.21
  5. Step 5: Solve for x
    x = 28,225,297.21/8,151.64
  6. Step 6: Final answer
    x = 3,462.53

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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.