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Finding the Fourth Proportional to 11,409.71, 15,745.10 and 6,373.76

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Solution

The fourth proportional to 11,409.71, 15,745.10 and 6,373.76 is: 8,795.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,409.71 : 15,745.10 = 6,373.76 : x
  2. Step 2: Convert to fraction form
    11,409.71/15,745.10 = 6,373.76/x
  3. Step 3: Cross multiply
    11,409.71x = 15,745.10 × 6,373.76
  4. Step 4: Simplify right side
    11,409.71x = 100,355,377.98
  5. Step 5: Solve for x
    x = 100,355,377.98/11,409.71
  6. Step 6: Final answer
    x = 8,795.62

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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.