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Finding the Fourth Proportional to 7,751.27, 11,626.91 and 6,377.72

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Solution

The fourth proportional to 7,751.27, 11,626.91 and 6,377.72 is: 9,566.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.27 : 11,626.91 = 6,377.72 : x
  2. Step 2: Convert to fraction form
    7,751.27/11,626.91 = 6,377.72/x
  3. Step 3: Cross multiply
    7,751.27x = 11,626.91 × 6,377.72
  4. Step 4: Simplify right side
    7,751.27x = 74,153,176.45
  5. Step 5: Solve for x
    x = 74,153,176.45/7,751.27
  6. Step 6: Final answer
    x = 9,566.58

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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.