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Finding the Fourth Proportional to 8,544, 11,791.44 and 4,818.72

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Solution

The fourth proportional to 8,544, 11,791.44 and 4,818.72 is: 6,650.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,544 : 11,791.44 = 4,818.72 : x
  2. Step 2: Convert to fraction form
    8,544/11,791.44 = 4,818.72/x
  3. Step 3: Cross multiply
    8,544x = 11,791.44 × 4,818.72
  4. Step 4: Simplify right side
    8,544x = 56,819,647.76
  5. Step 5: Solve for x
    x = 56,819,647.76/8,544
  6. Step 6: Final answer
    x = 6,650.24

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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.