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Finding the Fourth Proportional to 11,473.68, 15,833.86 and 6,369.06

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Solution

The fourth proportional to 11,473.68, 15,833.86 and 6,369.06 is: 8,789.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,473.68 : 15,833.86 = 6,369.06 : x
  2. Step 2: Convert to fraction form
    11,473.68/15,833.86 = 6,369.06/x
  3. Step 3: Cross multiply
    11,473.68x = 15,833.86 × 6,369.06
  4. Step 4: Simplify right side
    11,473.68x = 100,846,804.37
  5. Step 5: Solve for x
    x = 100,846,804.37/11,473.68
  6. Step 6: Final answer
    x = 8,789.40

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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.