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Finding the Fourth Proportional to 10,735.84, 14,816.10 and 6,020.38

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Solution

The fourth proportional to 10,735.84, 14,816.10 and 6,020.38 is: 8,308.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.84 : 14,816.10 = 6,020.38 : x
  2. Step 2: Convert to fraction form
    10,735.84/14,816.10 = 6,020.38/x
  3. Step 3: Cross multiply
    10,735.84x = 14,816.10 × 6,020.38
  4. Step 4: Simplify right side
    10,735.84x = 89,198,552.12
  5. Step 5: Solve for x
    x = 89,198,552.12/10,735.84
  6. Step 6: Final answer
    x = 8,308.48

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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.