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Finding the Fourth Proportional to 11,393.14, 15,722.55 and 6,357.23

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Solution

The fourth proportional to 11,393.14, 15,722.55 and 6,357.23 is: 8,772.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,393.14 : 15,722.55 = 6,357.23 : x
  2. Step 2: Convert to fraction form
    11,393.14/15,722.55 = 6,357.23/x
  3. Step 3: Cross multiply
    11,393.14x = 15,722.55 × 6,357.23
  4. Step 4: Simplify right side
    11,393.14x = 99,951,866.54
  5. Step 5: Solve for x
    x = 99,951,866.54/11,393.14
  6. Step 6: Final answer
    x = 8,772.99

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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.