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Finding the Fourth Proportional to 7,785.72, 10,745.22 and 4,429.08

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Solution

The fourth proportional to 7,785.72, 10,745.22 and 4,429.08 is: 6,112.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.72 : 10,745.22 = 4,429.08 : x
  2. Step 2: Convert to fraction form
    7,785.72/10,745.22 = 4,429.08/x
  3. Step 3: Cross multiply
    7,785.72x = 10,745.22 × 4,429.08
  4. Step 4: Simplify right side
    7,785.72x = 47,591,439.00
  5. Step 5: Solve for x
    x = 47,591,439.00/7,785.72
  6. Step 6: Final answer
    x = 6,112.66

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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.