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Finding the Fourth Proportional to 11,163.96, 15,405.66 and 6,448.14

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Solution

The fourth proportional to 11,163.96, 15,405.66 and 6,448.14 is: 8,898.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,163.96 : 15,405.66 = 6,448.14 : x
  2. Step 2: Convert to fraction form
    11,163.96/15,405.66 = 6,448.14/x
  3. Step 3: Cross multiply
    11,163.96x = 15,405.66 × 6,448.14
  4. Step 4: Simplify right side
    11,163.96x = 99,337,852.47
  5. Step 5: Solve for x
    x = 99,337,852.47/11,163.96
  6. Step 6: Final answer
    x = 8,898.08

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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.