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Finding the Fourth Proportional to 6,807.42, 10,208.23 and 4,942.99

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Solution

The fourth proportional to 6,807.42, 10,208.23 and 4,942.99 is: 7,412.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.42 : 10,208.23 = 4,942.99 : x
  2. Step 2: Convert to fraction form
    6,807.42/10,208.23 = 4,942.99/x
  3. Step 3: Cross multiply
    6,807.42x = 10,208.23 × 4,942.99
  4. Step 4: Simplify right side
    6,807.42x = 50,459,178.81
  5. Step 5: Solve for x
    x = 50,459,178.81/6,807.42
  6. Step 6: Final answer
    x = 7,412.38

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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.