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Finding the Fourth Proportional to 7,785.46, 11,684.22 and 2,858.32

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Solution

The fourth proportional to 7,785.46, 11,684.22 and 2,858.32 is: 4,289.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.46 : 11,684.22 = 2,858.32 : x
  2. Step 2: Convert to fraction form
    7,785.46/11,684.22 = 2,858.32/x
  3. Step 3: Cross multiply
    7,785.46x = 11,684.22 × 2,858.32
  4. Step 4: Simplify right side
    7,785.46x = 33,397,239.71
  5. Step 5: Solve for x
    x = 33,397,239.71/7,785.46
  6. Step 6: Final answer
    x = 4,289.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.