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Finding the Fourth Proportional to 7,709.67, 11,563.29 and 2,781.63

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Solution

The fourth proportional to 7,709.67, 11,563.29 and 2,781.63 is: 4,172.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.67 : 11,563.29 = 2,781.63 : x
  2. Step 2: Convert to fraction form
    7,709.67/11,563.29 = 2,781.63/x
  3. Step 3: Cross multiply
    7,709.67x = 11,563.29 × 2,781.63
  4. Step 4: Simplify right side
    7,709.67x = 32,164,794.36
  5. Step 5: Solve for x
    x = 32,164,794.36/7,709.67
  6. Step 6: Final answer
    x = 4,172.01

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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.