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Finding the Fourth Proportional to 10,735.80, 14,816.15 and 6,020.38

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Solution

The fourth proportional to 10,735.80, 14,816.15 and 6,020.38 is: 8,308.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.80 : 14,816.15 = 6,020.38 : x
  2. Step 2: Convert to fraction form
    10,735.80/14,816.15 = 6,020.38/x
  3. Step 3: Cross multiply
    10,735.80x = 14,816.15 × 6,020.38
  4. Step 4: Simplify right side
    10,735.80x = 89,198,853.14
  5. Step 5: Solve for x
    x = 89,198,853.14/10,735.80
  6. Step 6: Final answer
    x = 8,308.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.