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Finding the Fourth Proportional to 11,913.38, 16,429.69 and 7,437.54

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Solution

The fourth proportional to 11,913.38, 16,429.69 and 7,437.54 is: 10,257.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913.38 : 16,429.69 = 7,437.54 : x
  2. Step 2: Convert to fraction form
    11,913.38/16,429.69 = 7,437.54/x
  3. Step 3: Cross multiply
    11,913.38x = 16,429.69 × 7,437.54
  4. Step 4: Simplify right side
    11,913.38x = 122,196,476.56
  5. Step 5: Solve for x
    x = 122,196,476.56/11,913.38
  6. Step 6: Final answer
    x = 10,257.08

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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.