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Finding the Fourth Proportional to 8,289.86, 11,440.25 and 4,513.27

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Solution

The fourth proportional to 8,289.86, 11,440.25 and 4,513.27 is: 6,228.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.86 : 11,440.25 = 4,513.27 : x
  2. Step 2: Convert to fraction form
    8,289.86/11,440.25 = 4,513.27/x
  3. Step 3: Cross multiply
    8,289.86x = 11,440.25 × 4,513.27
  4. Step 4: Simplify right side
    8,289.86x = 51,632,937.12
  5. Step 5: Solve for x
    x = 51,632,937.12/8,289.86
  6. Step 6: Final answer
    x = 6,228.45

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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.