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Finding the Fourth Proportional to 7,786.40, 10,745.25 and 4,429.14

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Solution

The fourth proportional to 7,786.40, 10,745.25 and 4,429.14 is: 6,112.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.40 : 10,745.25 = 4,429.14 : x
  2. Step 2: Convert to fraction form
    7,786.40/10,745.25 = 4,429.14/x
  3. Step 3: Cross multiply
    7,786.40x = 10,745.25 × 4,429.14
  4. Step 4: Simplify right side
    7,786.40x = 47,592,216.59
  5. Step 5: Solve for x
    x = 47,592,216.59/7,786.40
  6. Step 6: Final answer
    x = 6,112.22

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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.