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Finding the Fourth Proportional to 6,107.58, 9,161.34 and 5,189.58

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Solution

The fourth proportional to 6,107.58, 9,161.34 and 5,189.58 is: 7,784.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.58 : 9,161.34 = 5,189.58 : x
  2. Step 2: Convert to fraction form
    6,107.58/9,161.34 = 5,189.58/x
  3. Step 3: Cross multiply
    6,107.58x = 9,161.34 × 5,189.58
  4. Step 4: Simplify right side
    6,107.58x = 47,543,506.84
  5. Step 5: Solve for x
    x = 47,543,506.84/6,107.58
  6. Step 6: Final answer
    x = 7,784.34

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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.