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Finding the Fourth Proportional to 10,563.66, 15,861.06 and 5,892.80

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Solution

The fourth proportional to 10,563.66, 15,861.06 and 5,892.80 is: 8,847.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.66 : 15,861.06 = 5,892.80 : x
  2. Step 2: Convert to fraction form
    10,563.66/15,861.06 = 5,892.80/x
  3. Step 3: Cross multiply
    10,563.66x = 15,861.06 × 5,892.80
  4. Step 4: Simplify right side
    10,563.66x = 93,465,975.06
  5. Step 5: Solve for x
    x = 93,465,975.06/10,563.66
  6. Step 6: Final answer
    x = 8,847.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.