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Finding the Fourth Proportional to 7,783.50, 11,675.19 and 2,236.89

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Solution

The fourth proportional to 7,783.50, 11,675.19 and 2,236.89 is: 3,355.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.50 : 11,675.19 = 2,236.89 : x
  2. Step 2: Convert to fraction form
    7,783.50/11,675.19 = 2,236.89/x
  3. Step 3: Cross multiply
    7,783.50x = 11,675.19 × 2,236.89
  4. Step 4: Simplify right side
    7,783.50x = 26,116,115.76
  5. Step 5: Solve for x
    x = 26,116,115.76/7,783.50
  6. Step 6: Final answer
    x = 3,355.32

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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.