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Finding the Fourth Proportional to 10,761.86, 16,138.24 and 3,364.34

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Solution

The fourth proportional to 10,761.86, 16,138.24 and 3,364.34 is: 5,045.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.86 : 16,138.24 = 3,364.34 : x
  2. Step 2: Convert to fraction form
    10,761.86/16,138.24 = 3,364.34/x
  3. Step 3: Cross multiply
    10,761.86x = 16,138.24 × 3,364.34
  4. Step 4: Simplify right side
    10,761.86x = 54,294,437.26
  5. Step 5: Solve for x
    x = 54,294,437.26/10,761.86
  6. Step 6: Final answer
    x = 5,045.08

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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.