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Finding the Fourth Proportional to 7,192.68, 10,782.67 and 2,807.07

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Solution

The fourth proportional to 7,192.68, 10,782.67 and 2,807.07 is: 4,208.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,192.68 : 10,782.67 = 2,807.07 : x
  2. Step 2: Convert to fraction form
    7,192.68/10,782.67 = 2,807.07/x
  3. Step 3: Cross multiply
    7,192.68x = 10,782.67 × 2,807.07
  4. Step 4: Simplify right side
    7,192.68x = 30,267,727.94
  5. Step 5: Solve for x
    x = 30,267,727.94/7,192.68
  6. Step 6: Final answer
    x = 4,208.13

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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.