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Finding the Fourth Proportional to 7,892.86, 10,882.47 and 6,395.26

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Solution

The fourth proportional to 7,892.86, 10,882.47 and 6,395.26 is: 8,817.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.86 : 10,882.47 = 6,395.26 : x
  2. Step 2: Convert to fraction form
    7,892.86/10,882.47 = 6,395.26/x
  3. Step 3: Cross multiply
    7,892.86x = 10,882.47 × 6,395.26
  4. Step 4: Simplify right side
    7,892.86x = 69,596,225.09
  5. Step 5: Solve for x
    x = 69,596,225.09/7,892.86
  6. Step 6: Final answer
    x = 8,817.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.