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Finding the Fourth Proportional to 6,852.64, 10,276.34 and 4,524.80

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Solution

The fourth proportional to 6,852.64, 10,276.34 and 4,524.80 is: 6,785.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.64 : 10,276.34 = 4,524.80 : x
  2. Step 2: Convert to fraction form
    6,852.64/10,276.34 = 4,524.80/x
  3. Step 3: Cross multiply
    6,852.64x = 10,276.34 × 4,524.80
  4. Step 4: Simplify right side
    6,852.64x = 46,498,383.23
  5. Step 5: Solve for x
    x = 46,498,383.23/6,852.64
  6. Step 6: Final answer
    x = 6,785.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.