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Finding the Fourth Proportional to 11,302.56, 16,955.46 and 5,759.46

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Solution

The fourth proportional to 11,302.56, 16,955.46 and 5,759.46 is: 8,640.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,302.56 : 16,955.46 = 5,759.46 : x
  2. Step 2: Convert to fraction form
    11,302.56/16,955.46 = 5,759.46/x
  3. Step 3: Cross multiply
    11,302.56x = 16,955.46 × 5,759.46
  4. Step 4: Simplify right side
    11,302.56x = 97,654,293.65
  5. Step 5: Solve for x
    x = 97,654,293.65/11,302.56
  6. Step 6: Final answer
    x = 8,640.02

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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.