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Finding the Fourth Proportional to 11,340, 17,016.48 and 5,184

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Solution

The fourth proportional to 11,340, 17,016.48 and 5,184 is: 7,778.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,340 : 17,016.48 = 5,184 : x
  2. Step 2: Convert to fraction form
    11,340/17,016.48 = 5,184/x
  3. Step 3: Cross multiply
    11,340x = 17,016.48 × 5,184
  4. Step 4: Simplify right side
    11,340x = 88,213,432.32
  5. Step 5: Solve for x
    x = 88,213,432.32/11,340
  6. Step 6: Final answer
    x = 7,778.96

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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.