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Finding the Fourth Proportional to 11,783.40, 17,672.94 and 4,763.04

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Solution

The fourth proportional to 11,783.40, 17,672.94 and 4,763.04 is: 7,143.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.40 : 17,672.94 = 4,763.04 : x
  2. Step 2: Convert to fraction form
    11,783.40/17,672.94 = 4,763.04/x
  3. Step 3: Cross multiply
    11,783.40x = 17,672.94 × 4,763.04
  4. Step 4: Simplify right side
    11,783.40x = 84,176,920.14
  5. Step 5: Solve for x
    x = 84,176,920.14/11,783.40
  6. Step 6: Final answer
    x = 7,143.69

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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.