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Finding the Fourth Proportional to 7,729.94, 11,588.07 and 3,725.30

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Solution

The fourth proportional to 7,729.94, 11,588.07 and 3,725.30 is: 5,584.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.94 : 11,588.07 = 3,725.30 : x
  2. Step 2: Convert to fraction form
    7,729.94/11,588.07 = 3,725.30/x
  3. Step 3: Cross multiply
    7,729.94x = 11,588.07 × 3,725.30
  4. Step 4: Simplify right side
    7,729.94x = 43,169,080.11
  5. Step 5: Solve for x
    x = 43,169,080.11/7,729.94
  6. Step 6: Final answer
    x = 5,584.66

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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.