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Finding the Fourth Proportional to 8,632.75, 11,913.20 and 4,906.75

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Solution

The fourth proportional to 8,632.75, 11,913.20 and 4,906.75 is: 6,771.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,632.75 : 11,913.20 = 4,906.75 : x
  2. Step 2: Convert to fraction form
    8,632.75/11,913.20 = 4,906.75/x
  3. Step 3: Cross multiply
    8,632.75x = 11,913.20 × 4,906.75
  4. Step 4: Simplify right side
    8,632.75x = 58,455,094.10
  5. Step 5: Solve for x
    x = 58,455,094.10/8,632.75
  6. Step 6: Final answer
    x = 6,771.32

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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.