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Finding the Fourth Proportional to 11,981.48, 17,972 and 4,965.26

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Solution

The fourth proportional to 11,981.48, 17,972 and 4,965.26 is: 7,447.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,981.48 : 17,972 = 4,965.26 : x
  2. Step 2: Convert to fraction form
    11,981.48/17,972 = 4,965.26/x
  3. Step 3: Cross multiply
    11,981.48x = 17,972 × 4,965.26
  4. Step 4: Simplify right side
    11,981.48x = 89,235,652.72
  5. Step 5: Solve for x
    x = 89,235,652.72/11,981.48
  6. Step 6: Final answer
    x = 7,447.80

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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.