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Finding the Fourth Proportional to 7,564.27, 11,345.49 and 2,633.49

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Solution

The fourth proportional to 7,564.27, 11,345.49 and 2,633.49 is: 3,949.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.27 : 11,345.49 = 2,633.49 : x
  2. Step 2: Convert to fraction form
    7,564.27/11,345.49 = 2,633.49/x
  3. Step 3: Cross multiply
    7,564.27x = 11,345.49 × 2,633.49
  4. Step 4: Simplify right side
    7,564.27x = 29,878,277.01
  5. Step 5: Solve for x
    x = 29,878,277.01/7,564.27
  6. Step 6: Final answer
    x = 3,949.92

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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.