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Finding the Fourth Proportional to 11,353.53, 15,682.89 and 9,471.33

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Solution

The fourth proportional to 11,353.53, 15,682.89 and 9,471.33 is: 13,082.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,353.53 : 15,682.89 = 9,471.33 : x
  2. Step 2: Convert to fraction form
    11,353.53/15,682.89 = 9,471.33/x
  3. Step 3: Cross multiply
    11,353.53x = 15,682.89 × 9,471.33
  4. Step 4: Simplify right side
    11,353.53x = 148,537,826.54
  5. Step 5: Solve for x
    x = 148,537,826.54/11,353.53
  6. Step 6: Final answer
    x = 13,082.96

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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.