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Finding the Fourth Proportional to 11,652.82, 17,463.58 and 5,720.65

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Solution

The fourth proportional to 11,652.82, 17,463.58 and 5,720.65 is: 8,573.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.82 : 17,463.58 = 5,720.65 : x
  2. Step 2: Convert to fraction form
    11,652.82/17,463.58 = 5,720.65/x
  3. Step 3: Cross multiply
    11,652.82x = 17,463.58 × 5,720.65
  4. Step 4: Simplify right side
    11,652.82x = 99,903,028.93
  5. Step 5: Solve for x
    x = 99,903,028.93/11,652.82
  6. Step 6: Final answer
    x = 8,573.29

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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.