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Finding the Fourth Proportional to 11,259.50, 16,889.12 and 10,574.45

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Solution

The fourth proportional to 11,259.50, 16,889.12 and 10,574.45 is: 15,861.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,259.50 : 16,889.12 = 10,574.45 : x
  2. Step 2: Convert to fraction form
    11,259.50/16,889.12 = 10,574.45/x
  3. Step 3: Cross multiply
    11,259.50x = 16,889.12 × 10,574.45
  4. Step 4: Simplify right side
    11,259.50x = 178,593,017.67
  5. Step 5: Solve for x
    x = 178,593,017.67/11,259.50
  6. Step 6: Final answer
    x = 15,861.54

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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.