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Finding the Fourth Proportional to 6,905.36, 10,367.08 and 4,099.32

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Solution

The fourth proportional to 6,905.36, 10,367.08 and 4,099.32 is: 6,154.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.36 : 10,367.08 = 4,099.32 : x
  2. Step 2: Convert to fraction form
    6,905.36/10,367.08 = 4,099.32/x
  3. Step 3: Cross multiply
    6,905.36x = 10,367.08 × 4,099.32
  4. Step 4: Simplify right side
    6,905.36x = 42,497,968.14
  5. Step 5: Solve for x
    x = 42,497,968.14/6,905.36
  6. Step 6: Final answer
    x = 6,154.34

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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.