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Finding the Fourth Proportional to 11,071.69, 16,615.73 and 5,228.30

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Solution

The fourth proportional to 11,071.69, 16,615.73 and 5,228.30 is: 7,846.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,071.69 : 16,615.73 = 5,228.30 : x
  2. Step 2: Convert to fraction form
    11,071.69/16,615.73 = 5,228.30/x
  3. Step 3: Cross multiply
    11,071.69x = 16,615.73 × 5,228.30
  4. Step 4: Simplify right side
    11,071.69x = 86,871,982.31
  5. Step 5: Solve for x
    x = 86,871,982.31/11,071.69
  6. Step 6: Final answer
    x = 7,846.32

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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.