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Finding the Fourth Proportional to 11,163.42, 15,406.20 and 6,448.01

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Solution

The fourth proportional to 11,163.42, 15,406.20 and 6,448.01 is: 8,898.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,163.42 : 15,406.20 = 6,448.01 : x
  2. Step 2: Convert to fraction form
    11,163.42/15,406.20 = 6,448.01/x
  3. Step 3: Cross multiply
    11,163.42x = 15,406.20 × 6,448.01
  4. Step 4: Simplify right side
    11,163.42x = 99,339,254.63
  5. Step 5: Solve for x
    x = 99,339,254.63/11,163.42
  6. Step 6: Final answer
    x = 8,898.64

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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.