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Finding the Fourth Proportional to 7,783.81, 11,675.70 and 2,236.33

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Solution

The fourth proportional to 7,783.81, 11,675.70 and 2,236.33 is: 3,354.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.81 : 11,675.70 = 2,236.33 : x
  2. Step 2: Convert to fraction form
    7,783.81/11,675.70 = 2,236.33/x
  3. Step 3: Cross multiply
    7,783.81x = 11,675.70 × 2,236.33
  4. Step 4: Simplify right side
    7,783.81x = 26,110,718.18
  5. Step 5: Solve for x
    x = 26,110,718.18/7,783.81
  6. Step 6: Final answer
    x = 3,354.49

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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.