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Finding the Fourth Proportional to 11,615.94, 17,424.09 and 4,215.78

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Solution

The fourth proportional to 11,615.94, 17,424.09 and 4,215.78 is: 6,323.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.94 : 17,424.09 = 4,215.78 : x
  2. Step 2: Convert to fraction form
    11,615.94/17,424.09 = 4,215.78/x
  3. Step 3: Cross multiply
    11,615.94x = 17,424.09 × 4,215.78
  4. Step 4: Simplify right side
    11,615.94x = 73,456,130.14
  5. Step 5: Solve for x
    x = 73,456,130.14/11,615.94
  6. Step 6: Final answer
    x = 6,323.74

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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.