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Finding the Fourth Proportional to 7,726.16, 11,589.24 and 3,564.94

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Solution

The fourth proportional to 7,726.16, 11,589.24 and 3,564.94 is: 5,347.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.16 : 11,589.24 = 3,564.94 : x
  2. Step 2: Convert to fraction form
    7,726.16/11,589.24 = 3,564.94/x
  3. Step 3: Cross multiply
    7,726.16x = 11,589.24 × 3,564.94
  4. Step 4: Simplify right side
    7,726.16x = 41,314,916.27
  5. Step 5: Solve for x
    x = 41,314,916.27/7,726.16
  6. Step 6: Final answer
    x = 5,347.41

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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.