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Finding the Fourth Proportional to 7,701.66, 11,573.01 and 4,194.27

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Solution

The fourth proportional to 7,701.66, 11,573.01 and 4,194.27 is: 6,302.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.66 : 11,573.01 = 4,194.27 : x
  2. Step 2: Convert to fraction form
    7,701.66/11,573.01 = 4,194.27/x
  3. Step 3: Cross multiply
    7,701.66x = 11,573.01 × 4,194.27
  4. Step 4: Simplify right side
    7,701.66x = 48,540,328.65
  5. Step 5: Solve for x
    x = 48,540,328.65/7,701.66
  6. Step 6: Final answer
    x = 6,302.58

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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.