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Finding the Fourth Proportional to 10,104.72, 13,926.36 and 8,222.54

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Solution

The fourth proportional to 10,104.72, 13,926.36 and 8,222.54 is: 11,332.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,104.72 : 13,926.36 = 8,222.54 : x
  2. Step 2: Convert to fraction form
    10,104.72/13,926.36 = 8,222.54/x
  3. Step 3: Cross multiply
    10,104.72x = 13,926.36 × 8,222.54
  4. Step 4: Simplify right side
    10,104.72x = 114,509,983.15
  5. Step 5: Solve for x
    x = 114,509,983.15/10,104.72
  6. Step 6: Final answer
    x = 11,332.32

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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.