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Finding the Fourth Proportional to 11,648.25, 17,475.11 and 3,857.07

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Solution

The fourth proportional to 11,648.25, 17,475.11 and 3,857.07 is: 5,786.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.25 : 17,475.11 = 3,857.07 : x
  2. Step 2: Convert to fraction form
    11,648.25/17,475.11 = 3,857.07/x
  3. Step 3: Cross multiply
    11,648.25x = 17,475.11 × 3,857.07
  4. Step 4: Simplify right side
    11,648.25x = 67,402,703.24
  5. Step 5: Solve for x
    x = 67,402,703.24/11,648.25
  6. Step 6: Final answer
    x = 5,786.51

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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.