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Finding the Fourth Proportional to 7,107.89, 10,649.04 and 4,184.60

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Solution

The fourth proportional to 7,107.89, 10,649.04 and 4,184.60 is: 6,269.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.89 : 10,649.04 = 4,184.60 : x
  2. Step 2: Convert to fraction form
    7,107.89/10,649.04 = 4,184.60/x
  3. Step 3: Cross multiply
    7,107.89x = 10,649.04 × 4,184.60
  4. Step 4: Simplify right side
    7,107.89x = 44,561,919.54
  5. Step 5: Solve for x
    x = 44,561,919.54/7,107.89
  6. Step 6: Final answer
    x = 6,269.36

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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.