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Finding the Fourth Proportional to 8,107.84, 11,186.40 and 4,960.96

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Solution

The fourth proportional to 8,107.84, 11,186.40 and 4,960.96 is: 6,844.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.84 : 11,186.40 = 4,960.96 : x
  2. Step 2: Convert to fraction form
    8,107.84/11,186.40 = 4,960.96/x
  3. Step 3: Cross multiply
    8,107.84x = 11,186.40 × 4,960.96
  4. Step 4: Simplify right side
    8,107.84x = 55,495,282.94
  5. Step 5: Solve for x
    x = 55,495,282.94/8,107.84
  6. Step 6: Final answer
    x = 6,844.64

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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.