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Finding the Fourth Proportional to 11,071.86, 16,615.69 and 6,145.44

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Solution

The fourth proportional to 11,071.86, 16,615.69 and 6,145.44 is: 9,222.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,071.86 : 16,615.69 = 6,145.44 : x
  2. Step 2: Convert to fraction form
    11,071.86/16,615.69 = 6,145.44/x
  3. Step 3: Cross multiply
    11,071.86x = 16,615.69 × 6,145.44
  4. Step 4: Simplify right side
    11,071.86x = 102,110,710.59
  5. Step 5: Solve for x
    x = 102,110,710.59/11,071.86
  6. Step 6: Final answer
    x = 9,222.54

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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.