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Finding the Fourth Proportional to 7,644.09, 11,466.15 and 2,713.86

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Solution

The fourth proportional to 7,644.09, 11,466.15 and 2,713.86 is: 4,070.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.09 : 11,466.15 = 2,713.86 : x
  2. Step 2: Convert to fraction form
    7,644.09/11,466.15 = 2,713.86/x
  3. Step 3: Cross multiply
    7,644.09x = 11,466.15 × 2,713.86
  4. Step 4: Simplify right side
    7,644.09x = 31,117,525.84
  5. Step 5: Solve for x
    x = 31,117,525.84/7,644.09
  6. Step 6: Final answer
    x = 4,070.80

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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.