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Finding the Fourth Proportional to 11,492.72, 17,240.48 and 4,097.96

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Solution

The fourth proportional to 11,492.72, 17,240.48 and 4,097.96 is: 6,147.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,492.72 : 17,240.48 = 4,097.96 : x
  2. Step 2: Convert to fraction form
    11,492.72/17,240.48 = 4,097.96/x
  3. Step 3: Cross multiply
    11,492.72x = 17,240.48 × 4,097.96
  4. Step 4: Simplify right side
    11,492.72x = 70,650,797.42
  5. Step 5: Solve for x
    x = 70,650,797.42/11,492.72
  6. Step 6: Final answer
    x = 6,147.44

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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.