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Finding the Fourth Proportional to 11,551.76, 17,311.94 and 6,551.78

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Solution

The fourth proportional to 11,551.76, 17,311.94 and 6,551.78 is: 9,818.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,551.76 : 17,311.94 = 6,551.78 : x
  2. Step 2: Convert to fraction form
    11,551.76/17,311.94 = 6,551.78/x
  3. Step 3: Cross multiply
    11,551.76x = 17,311.94 × 6,551.78
  4. Step 4: Simplify right side
    11,551.76x = 113,424,022.25
  5. Step 5: Solve for x
    x = 113,424,022.25/11,551.76
  6. Step 6: Final answer
    x = 9,818.77

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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.