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Finding the Fourth Proportional to 11,055.73, 16,583.76 and 6,156.50

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Solution

The fourth proportional to 11,055.73, 16,583.76 and 6,156.50 is: 9,234.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,055.73 : 16,583.76 = 6,156.50 : x
  2. Step 2: Convert to fraction form
    11,055.73/16,583.76 = 6,156.50/x
  3. Step 3: Cross multiply
    11,055.73x = 16,583.76 × 6,156.50
  4. Step 4: Simplify right side
    11,055.73x = 102,097,918.44
  5. Step 5: Solve for x
    x = 102,097,918.44/11,055.73
  6. Step 6: Final answer
    x = 9,234.84

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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.