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Finding the Fourth Proportional to 7,664.96, 11,495.12 and 2,734

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Solution

The fourth proportional to 7,664.96, 11,495.12 and 2,734 is: 4,100.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.96 : 11,495.12 = 2,734 : x
  2. Step 2: Convert to fraction form
    7,664.96/11,495.12 = 2,734/x
  3. Step 3: Cross multiply
    7,664.96x = 11,495.12 × 2,734
  4. Step 4: Simplify right side
    7,664.96x = 31,427,658.08
  5. Step 5: Solve for x
    x = 31,427,658.08/7,664.96
  6. Step 6: Final answer
    x = 4,100.17

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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.