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Finding the Fourth Proportional to 8,279.80, 11,424.86 and 4,922.54

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Solution

The fourth proportional to 8,279.80, 11,424.86 and 4,922.54 is: 6,792.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,279.80 : 11,424.86 = 4,922.54 : x
  2. Step 2: Convert to fraction form
    8,279.80/11,424.86 = 4,922.54/x
  3. Step 3: Cross multiply
    8,279.80x = 11,424.86 × 4,922.54
  4. Step 4: Simplify right side
    8,279.80x = 56,239,330.34
  5. Step 5: Solve for x
    x = 56,239,330.34/8,279.80
  6. Step 6: Final answer
    x = 6,792.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.