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Finding the Fourth Proportional to 7,786.14, 10,744.54 and 4,428.48

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Solution

The fourth proportional to 7,786.14, 10,744.54 and 4,428.48 is: 6,111.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.14 : 10,744.54 = 4,428.48 : x
  2. Step 2: Convert to fraction form
    7,786.14/10,744.54 = 4,428.48/x
  3. Step 3: Cross multiply
    7,786.14x = 10,744.54 × 4,428.48
  4. Step 4: Simplify right side
    7,786.14x = 47,581,969.43
  5. Step 5: Solve for x
    x = 47,581,969.43/7,786.14
  6. Step 6: Final answer
    x = 6,111.11

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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.