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Finding the Fourth Proportional to 7,099.40, 10,649.10 and 5,846.60

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Solution

The fourth proportional to 7,099.40, 10,649.10 and 5,846.60 is: 8,769.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.40 : 10,649.10 = 5,846.60 : x
  2. Step 2: Convert to fraction form
    7,099.40/10,649.10 = 5,846.60/x
  3. Step 3: Cross multiply
    7,099.40x = 10,649.10 × 5,846.60
  4. Step 4: Simplify right side
    7,099.40x = 62,261,028.06
  5. Step 5: Solve for x
    x = 62,261,028.06/7,099.40
  6. Step 6: Final answer
    x = 8,769.90

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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.