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Finding the Fourth Proportional to 10,898.82, 15,040.08 and 6,183

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Solution

The fourth proportional to 10,898.82, 15,040.08 and 6,183 is: 8,532.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,898.82 : 15,040.08 = 6,183 : x
  2. Step 2: Convert to fraction form
    10,898.82/15,040.08 = 6,183/x
  3. Step 3: Cross multiply
    10,898.82x = 15,040.08 × 6,183
  4. Step 4: Simplify right side
    10,898.82x = 92,992,814.64
  5. Step 5: Solve for x
    x = 92,992,814.64/10,898.82
  6. Step 6: Final answer
    x = 8,532.37

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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.