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Finding the Fourth Proportional to 6,807.56, 10,189.44 and 4,604.16

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Solution

The fourth proportional to 6,807.56, 10,189.44 and 4,604.16 is: 6,891.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.56 : 10,189.44 = 4,604.16 : x
  2. Step 2: Convert to fraction form
    6,807.56/10,189.44 = 4,604.16/x
  3. Step 3: Cross multiply
    6,807.56x = 10,189.44 × 4,604.16
  4. Step 4: Simplify right side
    6,807.56x = 46,913,812.07
  5. Step 5: Solve for x
    x = 46,913,812.07/6,807.56
  6. Step 6: Final answer
    x = 6,891.43

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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.