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Finding the Fourth Proportional to 11,210.64, 16,813.96 and 4,189.08

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Solution

The fourth proportional to 11,210.64, 16,813.96 and 4,189.08 is: 6,282.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,210.64 : 16,813.96 = 4,189.08 : x
  2. Step 2: Convert to fraction form
    11,210.64/16,813.96 = 4,189.08/x
  3. Step 3: Cross multiply
    11,210.64x = 16,813.96 × 4,189.08
  4. Step 4: Simplify right side
    11,210.64x = 70,435,023.56
  5. Step 5: Solve for x
    x = 70,435,023.56/11,210.64
  6. Step 6: Final answer
    x = 6,282.87

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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.