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Finding the Fourth Proportional to 11,566.72, 17,348.64 and 3,247.39

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Solution

The fourth proportional to 11,566.72, 17,348.64 and 3,247.39 is: 4,870.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,566.72 : 17,348.64 = 3,247.39 : x
  2. Step 2: Convert to fraction form
    11,566.72/17,348.64 = 3,247.39/x
  3. Step 3: Cross multiply
    11,566.72x = 17,348.64 × 3,247.39
  4. Step 4: Simplify right side
    11,566.72x = 56,337,800.05
  5. Step 5: Solve for x
    x = 56,337,800.05/11,566.72
  6. Step 6: Final answer
    x = 4,870.68

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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.