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Finding the Fourth Proportional to 7,786.56, 10,745.75 and 4,429.68

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Solution

The fourth proportional to 7,786.56, 10,745.75 and 4,429.68 is: 6,113.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.56 : 10,745.75 = 4,429.68 : x
  2. Step 2: Convert to fraction form
    7,786.56/10,745.75 = 4,429.68/x
  3. Step 3: Cross multiply
    7,786.56x = 10,745.75 × 4,429.68
  4. Step 4: Simplify right side
    7,786.56x = 47,600,233.86
  5. Step 5: Solve for x
    x = 47,600,233.86/7,786.56
  6. Step 6: Final answer
    x = 6,113.13

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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.