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Finding the Fourth Proportional to 11,431.44, 15,776.69 and 6,396.93

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Solution

The fourth proportional to 11,431.44, 15,776.69 and 6,396.93 is: 8,828.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431.44 : 15,776.69 = 6,396.93 : x
  2. Step 2: Convert to fraction form
    11,431.44/15,776.69 = 6,396.93/x
  3. Step 3: Cross multiply
    11,431.44x = 15,776.69 × 6,396.93
  4. Step 4: Simplify right side
    11,431.44x = 100,922,349.58
  5. Step 5: Solve for x
    x = 100,922,349.58/11,431.44
  6. Step 6: Final answer
    x = 8,828.49

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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.