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Finding the Fourth Proportional to 7,783.54, 11,677.16 and 2,236.75

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Solution

The fourth proportional to 7,783.54, 11,677.16 and 2,236.75 is: 3,355.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.54 : 11,677.16 = 2,236.75 : x
  2. Step 2: Convert to fraction form
    7,783.54/11,677.16 = 2,236.75/x
  3. Step 3: Cross multiply
    7,783.54x = 11,677.16 × 2,236.75
  4. Step 4: Simplify right side
    7,783.54x = 26,118,887.63
  5. Step 5: Solve for x
    x = 26,118,887.63/7,783.54
  6. Step 6: Final answer
    x = 3,355.66

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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.