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Finding the Fourth Proportional to 7,214.91, 10,797.72 and 6,046.23

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Solution

The fourth proportional to 7,214.91, 10,797.72 and 6,046.23 is: 9,048.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.91 : 10,797.72 = 6,046.23 : x
  2. Step 2: Convert to fraction form
    7,214.91/10,797.72 = 6,046.23/x
  3. Step 3: Cross multiply
    7,214.91x = 10,797.72 × 6,046.23
  4. Step 4: Simplify right side
    7,214.91x = 65,285,498.60
  5. Step 5: Solve for x
    x = 65,285,498.60/7,214.91
  6. Step 6: Final answer
    x = 9,048.69

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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.