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Finding the Fourth Proportional to 11,324.94, 15,628.59 and 6,289.49

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Solution

The fourth proportional to 11,324.94, 15,628.59 and 6,289.49 is: 8,679.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,324.94 : 15,628.59 = 6,289.49 : x
  2. Step 2: Convert to fraction form
    11,324.94/15,628.59 = 6,289.49/x
  3. Step 3: Cross multiply
    11,324.94x = 15,628.59 × 6,289.49
  4. Step 4: Simplify right side
    11,324.94x = 98,295,782.38
  5. Step 5: Solve for x
    x = 98,295,782.38/11,324.94
  6. Step 6: Final answer
    x = 8,679.59

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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.