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Finding the Fourth Proportional to 11,548.71, 15,941.21 and 6,832.76

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Solution

The fourth proportional to 11,548.71, 15,941.21 and 6,832.76 is: 9,431.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,548.71 : 15,941.21 = 6,832.76 : x
  2. Step 2: Convert to fraction form
    11,548.71/15,941.21 = 6,832.76/x
  3. Step 3: Cross multiply
    11,548.71x = 15,941.21 × 6,832.76
  4. Step 4: Simplify right side
    11,548.71x = 108,922,348.17
  5. Step 5: Solve for x
    x = 108,922,348.17/11,548.71
  6. Step 6: Final answer
    x = 9,431.56

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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.