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Finding the Fourth Proportional to 8,464.16, 12,695.60 and 2,308.64

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Solution

The fourth proportional to 8,464.16, 12,695.60 and 2,308.64 is: 3,462.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.16 : 12,695.60 = 2,308.64 : x
  2. Step 2: Convert to fraction form
    8,464.16/12,695.60 = 2,308.64/x
  3. Step 3: Cross multiply
    8,464.16x = 12,695.60 × 2,308.64
  4. Step 4: Simplify right side
    8,464.16x = 29,309,569.98
  5. Step 5: Solve for x
    x = 29,309,569.98/8,464.16
  6. Step 6: Final answer
    x = 3,462.79

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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.