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Finding the Fourth Proportional to 8,771.51, 12,100.74 and 5,414.46

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Solution

The fourth proportional to 8,771.51, 12,100.74 and 5,414.46 is: 7,469.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.51 : 12,100.74 = 5,414.46 : x
  2. Step 2: Convert to fraction form
    8,771.51/12,100.74 = 5,414.46/x
  3. Step 3: Cross multiply
    8,771.51x = 12,100.74 × 5,414.46
  4. Step 4: Simplify right side
    8,771.51x = 65,518,972.70
  5. Step 5: Solve for x
    x = 65,518,972.70/8,771.51
  6. Step 6: Final answer
    x = 7,469.52

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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.