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Finding the Fourth Proportional to 11,270.65, 16,906 and 10,585.59

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Solution

The fourth proportional to 11,270.65, 16,906 and 10,585.59 is: 15,878.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,270.65 : 16,906 = 10,585.59 : x
  2. Step 2: Convert to fraction form
    11,270.65/16,906 = 10,585.59/x
  3. Step 3: Cross multiply
    11,270.65x = 16,906 × 10,585.59
  4. Step 4: Simplify right side
    11,270.65x = 178,959,984.54
  5. Step 5: Solve for x
    x = 178,959,984.54/11,270.65
  6. Step 6: Final answer
    x = 15,878.41

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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.