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Finding the Fourth Proportional to 7,783.28, 10,741 and 4,246.42

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Solution

The fourth proportional to 7,783.28, 10,741 and 4,246.42 is: 5,860.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.28 : 10,741 = 4,246.42 : x
  2. Step 2: Convert to fraction form
    7,783.28/10,741 = 4,246.42/x
  3. Step 3: Cross multiply
    7,783.28x = 10,741 × 4,246.42
  4. Step 4: Simplify right side
    7,783.28x = 45,610,797.22
  5. Step 5: Solve for x
    x = 45,610,797.22/7,783.28
  6. Step 6: Final answer
    x = 5,860.10

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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.