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Finding the Fourth Proportional to 8,276.88, 11,418.20 and 4,738.08

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Solution

The fourth proportional to 8,276.88, 11,418.20 and 4,738.08 is: 6,536.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,276.88 : 11,418.20 = 4,738.08 : x
  2. Step 2: Convert to fraction form
    8,276.88/11,418.20 = 4,738.08/x
  3. Step 3: Cross multiply
    8,276.88x = 11,418.20 × 4,738.08
  4. Step 4: Simplify right side
    8,276.88x = 54,100,345.06
  5. Step 5: Solve for x
    x = 54,100,345.06/8,276.88
  6. Step 6: Final answer
    x = 6,536.32

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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.