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Finding the Fourth Proportional to 11,471.42, 15,830.56 and 6,694.64

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Solution

The fourth proportional to 11,471.42, 15,830.56 and 6,694.64 is: 9,238.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.42 : 15,830.56 = 6,694.64 : x
  2. Step 2: Convert to fraction form
    11,471.42/15,830.56 = 6,694.64/x
  3. Step 3: Cross multiply
    11,471.42x = 15,830.56 × 6,694.64
  4. Step 4: Simplify right side
    11,471.42x = 105,979,900.20
  5. Step 5: Solve for x
    x = 105,979,900.20/11,471.42
  6. Step 6: Final answer
    x = 9,238.61

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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.