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Finding the Fourth Proportional to 11,227.37, 15,493.76 and 6,447.63

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Solution

The fourth proportional to 11,227.37, 15,493.76 and 6,447.63 is: 8,897.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,227.37 : 15,493.76 = 6,447.63 : x
  2. Step 2: Convert to fraction form
    11,227.37/15,493.76 = 6,447.63/x
  3. Step 3: Cross multiply
    11,227.37x = 15,493.76 × 6,447.63
  4. Step 4: Simplify right side
    11,227.37x = 99,898,009.17
  5. Step 5: Solve for x
    x = 99,898,009.17/11,227.37
  6. Step 6: Final answer
    x = 8,897.72

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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.