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Finding the Fourth Proportional to 11,785.34, 17,678.01 and 3,020.33

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Solution

The fourth proportional to 11,785.34, 17,678.01 and 3,020.33 is: 4,530.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.34 : 17,678.01 = 3,020.33 : x
  2. Step 2: Convert to fraction form
    11,785.34/17,678.01 = 3,020.33/x
  3. Step 3: Cross multiply
    11,785.34x = 17,678.01 × 3,020.33
  4. Step 4: Simplify right side
    11,785.34x = 53,393,423.94
  5. Step 5: Solve for x
    x = 53,393,423.94/11,785.34
  6. Step 6: Final answer
    x = 4,530.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.