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Finding the Fourth Proportional to 11,447.87, 15,796.68 and 6,411.69

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Solution

The fourth proportional to 11,447.87, 15,796.68 and 6,411.69 is: 8,847.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.87 : 15,796.68 = 6,411.69 : x
  2. Step 2: Convert to fraction form
    11,447.87/15,796.68 = 6,411.69/x
  3. Step 3: Cross multiply
    11,447.87x = 15,796.68 × 6,411.69
  4. Step 4: Simplify right side
    11,447.87x = 101,283,415.19
  5. Step 5: Solve for x
    x = 101,283,415.19/11,447.87
  6. Step 6: Final answer
    x = 8,847.36

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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.