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Finding the Fourth Proportional to 11,464.60, 17,197.28 and 4,068.96

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Solution

The fourth proportional to 11,464.60, 17,197.28 and 4,068.96 is: 6,103.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.60 : 17,197.28 = 4,068.96 : x
  2. Step 2: Convert to fraction form
    11,464.60/17,197.28 = 4,068.96/x
  3. Step 3: Cross multiply
    11,464.60x = 17,197.28 × 4,068.96
  4. Step 4: Simplify right side
    11,464.60x = 69,975,044.43
  5. Step 5: Solve for x
    x = 69,975,044.43/11,464.60
  6. Step 6: Final answer
    x = 6,103.57

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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.