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Finding the Fourth Proportional to 11,564.37, 15,961.82 and 7,541.22

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Solution

The fourth proportional to 11,564.37, 15,961.82 and 7,541.22 is: 10,408.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.37 : 15,961.82 = 7,541.22 : x
  2. Step 2: Convert to fraction form
    11,564.37/15,961.82 = 7,541.22/x
  3. Step 3: Cross multiply
    11,564.37x = 15,961.82 × 7,541.22
  4. Step 4: Simplify right side
    11,564.37x = 120,371,639.58
  5. Step 5: Solve for x
    x = 120,371,639.58/11,564.37
  6. Step 6: Final answer
    x = 10,408.84

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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.