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Finding the Fourth Proportional to 11,927.46, 16,461.41 and 7,211.73

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Solution

The fourth proportional to 11,927.46, 16,461.41 and 7,211.73 is: 9,953.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,927.46 : 16,461.41 = 7,211.73 : x
  2. Step 2: Convert to fraction form
    11,927.46/16,461.41 = 7,211.73/x
  3. Step 3: Cross multiply
    11,927.46x = 16,461.41 × 7,211.73
  4. Step 4: Simplify right side
    11,927.46x = 118,715,208.28
  5. Step 5: Solve for x
    x = 118,715,208.28/11,927.46
  6. Step 6: Final answer
    x = 9,953.10

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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.