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Finding the Fourth Proportional to 11,096.94, 15,295.50 and 7,867.83

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Solution

The fourth proportional to 11,096.94, 15,295.50 and 7,867.83 is: 10,844.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,096.94 : 15,295.50 = 7,867.83 : x
  2. Step 2: Convert to fraction form
    11,096.94/15,295.50 = 7,867.83/x
  3. Step 3: Cross multiply
    11,096.94x = 15,295.50 × 7,867.83
  4. Step 4: Simplify right side
    11,096.94x = 120,342,393.77
  5. Step 5: Solve for x
    x = 120,342,393.77/11,096.94
  6. Step 6: Final answer
    x = 10,844.65

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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.