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Finding the Fourth Proportional to 10,489.50, 15,739.11 and 5,561.46

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Solution

The fourth proportional to 10,489.50, 15,739.11 and 5,561.46 is: 8,344.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.50 : 15,739.11 = 5,561.46 : x
  2. Step 2: Convert to fraction form
    10,489.50/15,739.11 = 5,561.46/x
  3. Step 3: Cross multiply
    10,489.50x = 15,739.11 × 5,561.46
  4. Step 4: Simplify right side
    10,489.50x = 87,532,430.70
  5. Step 5: Solve for x
    x = 87,532,430.70/10,489.50
  6. Step 6: Final answer
    x = 8,344.77

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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.