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Finding the Fourth Proportional to 10,754.31, 16,123.55 and 7,235.54

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Solution

The fourth proportional to 10,754.31, 16,123.55 and 7,235.54 is: 10,847.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,754.31 : 16,123.55 = 7,235.54 : x
  2. Step 2: Convert to fraction form
    10,754.31/16,123.55 = 7,235.54/x
  3. Step 3: Cross multiply
    10,754.31x = 16,123.55 × 7,235.54
  4. Step 4: Simplify right side
    10,754.31x = 116,662,474.17
  5. Step 5: Solve for x
    x = 116,662,474.17/10,754.31
  6. Step 6: Final answer
    x = 10,847.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.