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Finding the Fourth Proportional to 8,128.95, 11,217.87 and 4,771.17

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Solution

The fourth proportional to 8,128.95, 11,217.87 and 4,771.17 is: 6,584.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128.95 : 11,217.87 = 4,771.17 : x
  2. Step 2: Convert to fraction form
    8,128.95/11,217.87 = 4,771.17/x
  3. Step 3: Cross multiply
    8,128.95x = 11,217.87 × 4,771.17
  4. Step 4: Simplify right side
    8,128.95x = 53,522,364.81
  5. Step 5: Solve for x
    x = 53,522,364.81/8,128.95
  6. Step 6: Final answer
    x = 6,584.17

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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.