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Finding the Fourth Proportional to 10,802, 16,191.48 and 5,600.72

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Solution

The fourth proportional to 10,802, 16,191.48 and 5,600.72 is: 8,395.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802 : 16,191.48 = 5,600.72 : x
  2. Step 2: Convert to fraction form
    10,802/16,191.48 = 5,600.72/x
  3. Step 3: Cross multiply
    10,802x = 16,191.48 × 5,600.72
  4. Step 4: Simplify right side
    10,802x = 90,683,945.87
  5. Step 5: Solve for x
    x = 90,683,945.87/10,802
  6. Step 6: Final answer
    x = 8,395.11

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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.