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Finding the Fourth Proportional to 11,222.36, 15,486.92 and 6,509.44

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Solution

The fourth proportional to 11,222.36, 15,486.92 and 6,509.44 is: 8,983.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,222.36 : 15,486.92 = 6,509.44 : x
  2. Step 2: Convert to fraction form
    11,222.36/15,486.92 = 6,509.44/x
  3. Step 3: Cross multiply
    11,222.36x = 15,486.92 × 6,509.44
  4. Step 4: Simplify right side
    11,222.36x = 100,811,176.52
  5. Step 5: Solve for x
    x = 100,811,176.52/11,222.36
  6. Step 6: Final answer
    x = 8,983.06

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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.