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Finding the Fourth Proportional to 6,728.24, 10,095.65 and 4,766.48

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Solution

The fourth proportional to 6,728.24, 10,095.65 and 4,766.48 is: 7,152.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.24 : 10,095.65 = 4,766.48 : x
  2. Step 2: Convert to fraction form
    6,728.24/10,095.65 = 4,766.48/x
  3. Step 3: Cross multiply
    6,728.24x = 10,095.65 × 4,766.48
  4. Step 4: Simplify right side
    6,728.24x = 48,120,639.50
  5. Step 5: Solve for x
    x = 48,120,639.50/6,728.24
  6. Step 6: Final answer
    x = 7,152.05

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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.