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Finding the Fourth Proportional to 6,698.64, 10,049.63 and 4,728.11

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Solution

The fourth proportional to 6,698.64, 10,049.63 and 4,728.11 is: 7,093.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.64 : 10,049.63 = 4,728.11 : x
  2. Step 2: Convert to fraction form
    6,698.64/10,049.63 = 4,728.11/x
  3. Step 3: Cross multiply
    6,698.64x = 10,049.63 × 4,728.11
  4. Step 4: Simplify right side
    6,698.64x = 47,515,757.58
  5. Step 5: Solve for x
    x = 47,515,757.58/6,698.64
  6. Step 6: Final answer
    x = 7,093.34

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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.