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Finding the Fourth Proportional to 11,190.69, 16,783.43 and 4,947.32

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Solution

The fourth proportional to 11,190.69, 16,783.43 and 4,947.32 is: 7,419.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,190.69 : 16,783.43 = 4,947.32 : x
  2. Step 2: Convert to fraction form
    11,190.69/16,783.43 = 4,947.32/x
  3. Step 3: Cross multiply
    11,190.69x = 16,783.43 × 4,947.32
  4. Step 4: Simplify right side
    11,190.69x = 83,032,890.25
  5. Step 5: Solve for x
    x = 83,032,890.25/11,190.69
  6. Step 6: Final answer
    x = 7,419.82

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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.