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Finding the Fourth Proportional to 11,570.56, 15,969.86 and 7,542.42

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Solution

The fourth proportional to 11,570.56, 15,969.86 and 7,542.42 is: 10,410.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,570.56 : 15,969.86 = 7,542.42 : x
  2. Step 2: Convert to fraction form
    11,570.56/15,969.86 = 7,542.42/x
  3. Step 3: Cross multiply
    11,570.56x = 15,969.86 × 7,542.42
  4. Step 4: Simplify right side
    11,570.56x = 120,451,391.46
  5. Step 5: Solve for x
    x = 120,451,391.46/11,570.56
  6. Step 6: Final answer
    x = 10,410.16

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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.