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Finding the Fourth Proportional to 7,783.44, 10,740.71 and 4,425.78

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Solution

The fourth proportional to 7,783.44, 10,740.71 and 4,425.78 is: 6,107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.44 : 10,740.71 = 4,425.78 : x
  2. Step 2: Convert to fraction form
    7,783.44/10,740.71 = 4,425.78/x
  3. Step 3: Cross multiply
    7,783.44x = 10,740.71 × 4,425.78
  4. Step 4: Simplify right side
    7,783.44x = 47,535,997.37
  5. Step 5: Solve for x
    x = 47,535,997.37/7,783.44
  6. Step 6: Final answer
    x = 6,107.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.