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Finding the Fourth Proportional to 11,410.32, 17,103.87 and 7,712.94

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Solution

The fourth proportional to 11,410.32, 17,103.87 and 7,712.94 is: 11,561.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,410.32 : 17,103.87 = 7,712.94 : x
  2. Step 2: Convert to fraction form
    11,410.32/17,103.87 = 7,712.94/x
  3. Step 3: Cross multiply
    11,410.32x = 17,103.87 × 7,712.94
  4. Step 4: Simplify right side
    11,410.32x = 131,921,123.08
  5. Step 5: Solve for x
    x = 131,921,123.08/11,410.32
  6. Step 6: Final answer
    x = 11,561.56

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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.