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Finding the Fourth Proportional to 7,892.30, 10,857.84 and 7,673.60

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Solution

The fourth proportional to 7,892.30, 10,857.84 and 7,673.60 is: 10,556.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.30 : 10,857.84 = 7,673.60 : x
  2. Step 2: Convert to fraction form
    7,892.30/10,857.84 = 7,673.60/x
  3. Step 3: Cross multiply
    7,892.30x = 10,857.84 × 7,673.60
  4. Step 4: Simplify right side
    7,892.30x = 83,318,721.02
  5. Step 5: Solve for x
    x = 83,318,721.02/7,892.30
  6. Step 6: Final answer
    x = 10,556.96

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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.