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Finding the Fourth Proportional to 10,815.36, 14,923.86 and 6,034.14

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Solution

The fourth proportional to 10,815.36, 14,923.86 and 6,034.14 is: 8,326.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,815.36 : 14,923.86 = 6,034.14 : x
  2. Step 2: Convert to fraction form
    10,815.36/14,923.86 = 6,034.14/x
  3. Step 3: Cross multiply
    10,815.36x = 14,923.86 × 6,034.14
  4. Step 4: Simplify right side
    10,815.36x = 90,052,660.58
  5. Step 5: Solve for x
    x = 90,052,660.58/10,815.36
  6. Step 6: Final answer
    x = 8,326.37

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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.