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Finding the Fourth Proportional to 11,858.30, 16,366.14 and 7,383.45

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Solution

The fourth proportional to 11,858.30, 16,366.14 and 7,383.45 is: 10,190.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,858.30 : 16,366.14 = 7,383.45 : x
  2. Step 2: Convert to fraction form
    11,858.30/16,366.14 = 7,383.45/x
  3. Step 3: Cross multiply
    11,858.30x = 16,366.14 × 7,383.45
  4. Step 4: Simplify right side
    11,858.30x = 120,838,576.38
  5. Step 5: Solve for x
    x = 120,838,576.38/11,858.30
  6. Step 6: Final answer
    x = 10,190.21

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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.