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Finding the Fourth Proportional to 7,783.36, 11,673.28 and 2,236.68

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Solution

The fourth proportional to 7,783.36, 11,673.28 and 2,236.68 is: 3,354.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.36 : 11,673.28 = 2,236.68 : x
  2. Step 2: Convert to fraction form
    7,783.36/11,673.28 = 2,236.68/x
  3. Step 3: Cross multiply
    7,783.36x = 11,673.28 × 2,236.68
  4. Step 4: Simplify right side
    7,783.36x = 26,109,391.91
  5. Step 5: Solve for x
    x = 26,109,391.91/7,783.36
  6. Step 6: Final answer
    x = 3,354.51

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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.