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Finding the Fourth Proportional to 7,105.84, 10,656.60 and 2,722.96

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Solution

The fourth proportional to 7,105.84, 10,656.60 and 2,722.96 is: 4,083.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.84 : 10,656.60 = 2,722.96 : x
  2. Step 2: Convert to fraction form
    7,105.84/10,656.60 = 2,722.96/x
  3. Step 3: Cross multiply
    7,105.84x = 10,656.60 × 2,722.96
  4. Step 4: Simplify right side
    7,105.84x = 29,017,495.54
  5. Step 5: Solve for x
    x = 29,017,495.54/7,105.84
  6. Step 6: Final answer
    x = 4,083.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.