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Finding the Fourth Proportional to 11,210.75, 16,813.83 and 4,189.47

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Solution

The fourth proportional to 11,210.75, 16,813.83 and 4,189.47 is: 6,283.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,210.75 : 16,813.83 = 4,189.47 : x
  2. Step 2: Convert to fraction form
    11,210.75/16,813.83 = 4,189.47/x
  3. Step 3: Cross multiply
    11,210.75x = 16,813.83 × 4,189.47
  4. Step 4: Simplify right side
    11,210.75x = 70,440,973.32
  5. Step 5: Solve for x
    x = 70,440,973.32/11,210.75
  6. Step 6: Final answer
    x = 6,283.34

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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.