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Finding the Fourth Proportional to 11,460.96, 17,199 and 4,065.30

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Solution

The fourth proportional to 11,460.96, 17,199 and 4,065.30 is: 6,100.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,460.96 : 17,199 = 4,065.30 : x
  2. Step 2: Convert to fraction form
    11,460.96/17,199 = 4,065.30/x
  3. Step 3: Cross multiply
    11,460.96x = 17,199 × 4,065.30
  4. Step 4: Simplify right side
    11,460.96x = 69,919,094.70
  5. Step 5: Solve for x
    x = 69,919,094.70/11,460.96
  6. Step 6: Final answer
    x = 6,100.63

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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.