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Finding the Fourth Proportional to 7,649.27, 11,466.01 and 3,209.51

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Solution

The fourth proportional to 7,649.27, 11,466.01 and 3,209.51 is: 4,810.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.27 : 11,466.01 = 3,209.51 : x
  2. Step 2: Convert to fraction form
    7,649.27/11,466.01 = 3,209.51/x
  3. Step 3: Cross multiply
    7,649.27x = 11,466.01 × 3,209.51
  4. Step 4: Simplify right side
    7,649.27x = 36,800,261.72
  5. Step 5: Solve for x
    x = 36,800,261.72/7,649.27
  6. Step 6: Final answer
    x = 4,810.95

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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.