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Finding the Fourth Proportional to 11,471.75, 15,830.92 and 6,435.86

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Solution

The fourth proportional to 11,471.75, 15,830.92 and 6,435.86 is: 8,881.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.75 : 15,830.92 = 6,435.86 : x
  2. Step 2: Convert to fraction form
    11,471.75/15,830.92 = 6,435.86/x
  3. Step 3: Cross multiply
    11,471.75x = 15,830.92 × 6,435.86
  4. Step 4: Simplify right side
    11,471.75x = 101,885,629.15
  5. Step 5: Solve for x
    x = 101,885,629.15/11,471.75
  6. Step 6: Final answer
    x = 8,881.44

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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.