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Finding the Fourth Proportional to 10,563.29, 15,860.50 and 5,892.42

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Solution

The fourth proportional to 10,563.29, 15,860.50 and 5,892.42 is: 8,847.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.29 : 15,860.50 = 5,892.42 : x
  2. Step 2: Convert to fraction form
    10,563.29/15,860.50 = 5,892.42/x
  3. Step 3: Cross multiply
    10,563.29x = 15,860.50 × 5,892.42
  4. Step 4: Simplify right side
    10,563.29x = 93,456,712.68
  5. Step 5: Solve for x
    x = 93,456,712.68/10,563.29
  6. Step 6: Final answer
    x = 8,847.32

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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.