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Finding the Fourth Proportional to 7,783.80, 11,672.19 and 2,235.89

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Solution

The fourth proportional to 7,783.80, 11,672.19 and 2,235.89 is: 3,352.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.80 : 11,672.19 = 2,235.89 : x
  2. Step 2: Convert to fraction form
    7,783.80/11,672.19 = 2,235.89/x
  3. Step 3: Cross multiply
    7,783.80x = 11,672.19 × 2,235.89
  4. Step 4: Simplify right side
    7,783.80x = 26,097,674.54
  5. Step 5: Solve for x
    x = 26,097,674.54/7,783.80
  6. Step 6: Final answer
    x = 3,352.82

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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.