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Finding the Fourth Proportional to 7,836.78, 11,751.39 and 4,550.70

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Solution

The fourth proportional to 7,836.78, 11,751.39 and 4,550.70 is: 6,823.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.78 : 11,751.39 = 4,550.70 : x
  2. Step 2: Convert to fraction form
    7,836.78/11,751.39 = 4,550.70/x
  3. Step 3: Cross multiply
    7,836.78x = 11,751.39 × 4,550.70
  4. Step 4: Simplify right side
    7,836.78x = 53,477,050.47
  5. Step 5: Solve for x
    x = 53,477,050.47/7,836.78
  6. Step 6: Final answer
    x = 6,823.86

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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.