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Finding the Fourth Proportional to 11,376.27, 15,699.22 and 6,340.43

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Solution

The fourth proportional to 11,376.27, 15,699.22 and 6,340.43 is: 8,749.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,376.27 : 15,699.22 = 6,340.43 : x
  2. Step 2: Convert to fraction form
    11,376.27/15,699.22 = 6,340.43/x
  3. Step 3: Cross multiply
    11,376.27x = 15,699.22 × 6,340.43
  4. Step 4: Simplify right side
    11,376.27x = 99,539,828.86
  5. Step 5: Solve for x
    x = 99,539,828.86/11,376.27
  6. Step 6: Final answer
    x = 8,749.78

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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.