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Finding the Fourth Proportional to 11,478.67, 17,216.38 and 3,686.47

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Solution

The fourth proportional to 11,478.67, 17,216.38 and 3,686.47 is: 5,529.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.67 : 17,216.38 = 3,686.47 : x
  2. Step 2: Convert to fraction form
    11,478.67/17,216.38 = 3,686.47/x
  3. Step 3: Cross multiply
    11,478.67x = 17,216.38 × 3,686.47
  4. Step 4: Simplify right side
    11,478.67x = 63,467,629.95
  5. Step 5: Solve for x
    x = 63,467,629.95/11,478.67
  6. Step 6: Final answer
    x = 5,529.18

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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.