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Finding the Fourth Proportional to 8,279.46, 11,425.74 and 4,742.60

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Solution

The fourth proportional to 8,279.46, 11,425.74 and 4,742.60 is: 6,544.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,279.46 : 11,425.74 = 4,742.60 : x
  2. Step 2: Convert to fraction form
    8,279.46/11,425.74 = 4,742.60/x
  3. Step 3: Cross multiply
    8,279.46x = 11,425.74 × 4,742.60
  4. Step 4: Simplify right side
    8,279.46x = 54,187,714.52
  5. Step 5: Solve for x
    x = 54,187,714.52/8,279.46
  6. Step 6: Final answer
    x = 6,544.84

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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.