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Finding the Fourth Proportional to 11,226.58, 16,809.73 and 6,282.14

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Solution

The fourth proportional to 11,226.58, 16,809.73 and 6,282.14 is: 9,406.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,226.58 : 16,809.73 = 6,282.14 : x
  2. Step 2: Convert to fraction form
    11,226.58/16,809.73 = 6,282.14/x
  3. Step 3: Cross multiply
    11,226.58x = 16,809.73 × 6,282.14
  4. Step 4: Simplify right side
    11,226.58x = 105,600,977.47
  5. Step 5: Solve for x
    x = 105,600,977.47/11,226.58
  6. Step 6: Final answer
    x = 9,406.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.