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Finding the Fourth Proportional to 8,145.47, 11,240.75 and 4,419.47

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Solution

The fourth proportional to 8,145.47, 11,240.75 and 4,419.47 is: 6,098.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145.47 : 11,240.75 = 4,419.47 : x
  2. Step 2: Convert to fraction form
    8,145.47/11,240.75 = 4,419.47/x
  3. Step 3: Cross multiply
    8,145.47x = 11,240.75 × 4,419.47
  4. Step 4: Simplify right side
    8,145.47x = 49,678,163.41
  5. Step 5: Solve for x
    x = 49,678,163.41/8,145.47
  6. Step 6: Final answer
    x = 6,098.87

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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.