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Finding the Fourth Proportional to 11,564.23, 15,941.95 and 7,578.43

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Solution

The fourth proportional to 11,564.23, 15,941.95 and 7,578.43 is: 10,447.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.23 : 15,941.95 = 7,578.43 : x
  2. Step 2: Convert to fraction form
    11,564.23/15,941.95 = 7,578.43/x
  3. Step 3: Cross multiply
    11,564.23x = 15,941.95 × 7,578.43
  4. Step 4: Simplify right side
    11,564.23x = 120,814,872.43
  5. Step 5: Solve for x
    x = 120,814,872.43/11,564.23
  6. Step 6: Final answer
    x = 10,447.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.