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Finding the Fourth Proportional to 11,814.35, 17,704.80 and 6,551.67

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Solution

The fourth proportional to 11,814.35, 17,704.80 and 6,551.67 is: 9,818.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.35 : 17,704.80 = 6,551.67 : x
  2. Step 2: Convert to fraction form
    11,814.35/17,704.80 = 6,551.67/x
  3. Step 3: Cross multiply
    11,814.35x = 17,704.80 × 6,551.67
  4. Step 4: Simplify right side
    11,814.35x = 115,996,007.02
  5. Step 5: Solve for x
    x = 115,996,007.02/11,814.35
  6. Step 6: Final answer
    x = 9,818.23

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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.