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Finding the Fourth Proportional to 11,443.76, 15,793.87 and 6,409.90

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Solution

The fourth proportional to 11,443.76, 15,793.87 and 6,409.90 is: 8,846.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,443.76 : 15,793.87 = 6,409.90 : x
  2. Step 2: Convert to fraction form
    11,443.76/15,793.87 = 6,409.90/x
  3. Step 3: Cross multiply
    11,443.76x = 15,793.87 × 6,409.90
  4. Step 4: Simplify right side
    11,443.76x = 101,237,048.34
  5. Step 5: Solve for x
    x = 101,237,048.34/11,443.76
  6. Step 6: Final answer
    x = 8,846.49

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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.