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Finding the Fourth Proportional to 11,782.26, 16,259.52 and 6,477.16

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Solution

The fourth proportional to 11,782.26, 16,259.52 and 6,477.16 is: 8,938.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.26 : 16,259.52 = 6,477.16 : x
  2. Step 2: Convert to fraction form
    11,782.26/16,259.52 = 6,477.16/x
  3. Step 3: Cross multiply
    11,782.26x = 16,259.52 × 6,477.16
  4. Step 4: Simplify right side
    11,782.26x = 105,315,512.56
  5. Step 5: Solve for x
    x = 105,315,512.56/11,782.26
  6. Step 6: Final answer
    x = 8,938.48

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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.