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Finding the Fourth Proportional to 11,471.74, 15,825.64 and 7,220.86

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Solution

The fourth proportional to 11,471.74, 15,825.64 and 7,220.86 is: 9,961.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.74 : 15,825.64 = 7,220.86 : x
  2. Step 2: Convert to fraction form
    11,471.74/15,825.64 = 7,220.86/x
  3. Step 3: Cross multiply
    11,471.74x = 15,825.64 × 7,220.86
  4. Step 4: Simplify right side
    11,471.74x = 114,274,730.85
  5. Step 5: Solve for x
    x = 114,274,730.85/11,471.74
  6. Step 6: Final answer
    x = 9,961.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.