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Finding the Fourth Proportional to 11,570.78, 17,353.46 and 3,251.60

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Solution

The fourth proportional to 11,570.78, 17,353.46 and 3,251.60 is: 4,876.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,570.78 : 17,353.46 = 3,251.60 : x
  2. Step 2: Convert to fraction form
    11,570.78/17,353.46 = 3,251.60/x
  3. Step 3: Cross multiply
    11,570.78x = 17,353.46 × 3,251.60
  4. Step 4: Simplify right side
    11,570.78x = 56,426,431.90
  5. Step 5: Solve for x
    x = 56,426,431.90/11,570.78
  6. Step 6: Final answer
    x = 4,876.63

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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.