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Finding the Fourth Proportional to 9,982.28, 13,790.58 and 8,505.38

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Solution

The fourth proportional to 9,982.28, 13,790.58 and 8,505.38 is: 11,750.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.28 : 13,790.58 = 8,505.38 : x
  2. Step 2: Convert to fraction form
    9,982.28/13,790.58 = 8,505.38/x
  3. Step 3: Cross multiply
    9,982.28x = 13,790.58 × 8,505.38
  4. Step 4: Simplify right side
    9,982.28x = 117,294,123.32
  5. Step 5: Solve for x
    x = 117,294,123.32/9,982.28
  6. Step 6: Final answer
    x = 11,750.23

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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.