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Finding the Fourth Proportional to 8,147.94, 11,244.16 and 4,421.94

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Solution

The fourth proportional to 8,147.94, 11,244.16 and 4,421.94 is: 6,102.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.94 : 11,244.16 = 4,421.94 : x
  2. Step 2: Convert to fraction form
    8,147.94/11,244.16 = 4,421.94/x
  3. Step 3: Cross multiply
    8,147.94x = 11,244.16 × 4,421.94
  4. Step 4: Simplify right side
    8,147.94x = 49,720,978.76
  5. Step 5: Solve for x
    x = 49,720,978.76/8,147.94
  6. Step 6: Final answer
    x = 6,102.28

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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.