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Finding the Fourth Proportional to 11,569.56, 15,968.48 and 7,541.42

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Solution

The fourth proportional to 11,569.56, 15,968.48 and 7,541.42 is: 10,408.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,569.56 : 15,968.48 = 7,541.42 : x
  2. Step 2: Convert to fraction form
    11,569.56/15,968.48 = 7,541.42/x
  3. Step 3: Cross multiply
    11,569.56x = 15,968.48 × 7,541.42
  4. Step 4: Simplify right side
    11,569.56x = 120,425,014.44
  5. Step 5: Solve for x
    x = 120,425,014.44/11,569.56
  6. Step 6: Final answer
    x = 10,408.78

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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.