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Finding the Fourth Proportional to 7,783.16, 11,672.97 and 2,236.46

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Solution

The fourth proportional to 7,783.16, 11,672.97 and 2,236.46 is: 3,354.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.16 : 11,672.97 = 2,236.46 : x
  2. Step 2: Convert to fraction form
    7,783.16/11,672.97 = 2,236.46/x
  3. Step 3: Cross multiply
    7,783.16x = 11,672.97 × 2,236.46
  4. Step 4: Simplify right side
    7,783.16x = 26,106,130.49
  5. Step 5: Solve for x
    x = 26,106,130.49/7,783.16
  6. Step 6: Final answer
    x = 3,354.18

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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.