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Finding the Fourth Proportional to 7,725.95, 11,588.90 and 1,882.56

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Solution

The fourth proportional to 7,725.95, 11,588.90 and 1,882.56 is: 2,823.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.95 : 11,588.90 = 1,882.56 : x
  2. Step 2: Convert to fraction form
    7,725.95/11,588.90 = 1,882.56/x
  3. Step 3: Cross multiply
    7,725.95x = 11,588.90 × 1,882.56
  4. Step 4: Simplify right side
    7,725.95x = 21,816,790.17
  5. Step 5: Solve for x
    x = 21,816,790.17/7,725.95
  6. Step 6: Final answer
    x = 2,823.83

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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.