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Finding the Fourth Proportional to 11,163.36, 15,405.76 and 6,384.10

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Solution

The fourth proportional to 11,163.36, 15,405.76 and 6,384.10 is: 8,810.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,163.36 : 15,405.76 = 6,384.10 : x
  2. Step 2: Convert to fraction form
    11,163.36/15,405.76 = 6,384.10/x
  3. Step 3: Cross multiply
    11,163.36x = 15,405.76 × 6,384.10
  4. Step 4: Simplify right side
    11,163.36x = 98,351,912.42
  5. Step 5: Solve for x
    x = 98,351,912.42/11,163.36
  6. Step 6: Final answer
    x = 8,810.24

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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.