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Finding the Fourth Proportional to 6,707.36, 10,035.12 and 6,400.64

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Solution

The fourth proportional to 6,707.36, 10,035.12 and 6,400.64 is: 9,576.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.36 : 10,035.12 = 6,400.64 : x
  2. Step 2: Convert to fraction form
    6,707.36/10,035.12 = 6,400.64/x
  3. Step 3: Cross multiply
    6,707.36x = 10,035.12 × 6,400.64
  4. Step 4: Simplify right side
    6,707.36x = 64,231,190.48
  5. Step 5: Solve for x
    x = 64,231,190.48/6,707.36
  6. Step 6: Final answer
    x = 9,576.23

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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.