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Finding the Fourth Proportional to 7,678.74, 11,513.05 and 2,999.27

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Solution

The fourth proportional to 7,678.74, 11,513.05 and 2,999.27 is: 4,496.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.74 : 11,513.05 = 2,999.27 : x
  2. Step 2: Convert to fraction form
    7,678.74/11,513.05 = 2,999.27/x
  3. Step 3: Cross multiply
    7,678.74x = 11,513.05 × 2,999.27
  4. Step 4: Simplify right side
    7,678.74x = 34,530,745.47
  5. Step 5: Solve for x
    x = 34,530,745.47/7,678.74
  6. Step 6: Final answer
    x = 4,496.93

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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.