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Finding the Fourth Proportional to 7,786.18, 10,745.16 and 4,429.48

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Solution

The fourth proportional to 7,786.18, 10,745.16 and 4,429.48 is: 6,112.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.18 : 10,745.16 = 4,429.48 : x
  2. Step 2: Convert to fraction form
    7,786.18/10,745.16 = 4,429.48/x
  3. Step 3: Cross multiply
    7,786.18x = 10,745.16 × 4,429.48
  4. Step 4: Simplify right side
    7,786.18x = 47,595,417.59
  5. Step 5: Solve for x
    x = 47,595,417.59/7,786.18
  6. Step 6: Final answer
    x = 6,112.81

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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.