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Finding the Fourth Proportional to 11,409.34, 17,102.38 and 7,711.94

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Solution

The fourth proportional to 11,409.34, 17,102.38 and 7,711.94 is: 11,560.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,409.34 : 17,102.38 = 7,711.94 : x
  2. Step 2: Convert to fraction form
    11,409.34/17,102.38 = 7,711.94/x
  3. Step 3: Cross multiply
    11,409.34x = 17,102.38 × 7,711.94
  4. Step 4: Simplify right side
    11,409.34x = 131,892,528.42
  5. Step 5: Solve for x
    x = 131,892,528.42/11,409.34
  6. Step 6: Final answer
    x = 11,560.05

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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.