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Finding the Fourth Proportional to 11,619.86, 16,032.20 and 7,642.28

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Solution

The fourth proportional to 11,619.86, 16,032.20 and 7,642.28 is: 10,544.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,619.86 : 16,032.20 = 7,642.28 : x
  2. Step 2: Convert to fraction form
    11,619.86/16,032.20 = 7,642.28/x
  3. Step 3: Cross multiply
    11,619.86x = 16,032.20 × 7,642.28
  4. Step 4: Simplify right side
    11,619.86x = 122,522,563.29
  5. Step 5: Solve for x
    x = 122,522,563.29/11,619.86
  6. Step 6: Final answer
    x = 10,544.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.