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Finding the Fourth Proportional to 12,613.28, 18,913.44 and 5,684

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Solution

The fourth proportional to 12,613.28, 18,913.44 and 5,684 is: 8,523.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,613.28 : 18,913.44 = 5,684 : x
  2. Step 2: Convert to fraction form
    12,613.28/18,913.44 = 5,684/x
  3. Step 3: Cross multiply
    12,613.28x = 18,913.44 × 5,684
  4. Step 4: Simplify right side
    12,613.28x = 107,503,992.96
  5. Step 5: Solve for x
    x = 107,503,992.96/12,613.28
  6. Step 6: Final answer
    x = 8,523.08

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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.