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Finding the Fourth Proportional to 7,494.66, 11,244.33 and 2,564.28

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Solution

The fourth proportional to 7,494.66, 11,244.33 and 2,564.28 is: 3,847.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494.66 : 11,244.33 = 2,564.28 : x
  2. Step 2: Convert to fraction form
    7,494.66/11,244.33 = 2,564.28/x
  3. Step 3: Cross multiply
    7,494.66x = 11,244.33 × 2,564.28
  4. Step 4: Simplify right side
    7,494.66x = 28,833,610.53
  5. Step 5: Solve for x
    x = 28,833,610.53/7,494.66
  6. Step 6: Final answer
    x = 3,847.22

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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.