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Finding the Fourth Proportional to 8,303.50, 11,458.83 and 4,766.94

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Solution

The fourth proportional to 8,303.50, 11,458.83 and 4,766.94 is: 6,578.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,303.50 : 11,458.83 = 4,766.94 : x
  2. Step 2: Convert to fraction form
    8,303.50/11,458.83 = 4,766.94/x
  3. Step 3: Cross multiply
    8,303.50x = 11,458.83 × 4,766.94
  4. Step 4: Simplify right side
    8,303.50x = 54,623,555.08
  5. Step 5: Solve for x
    x = 54,623,555.08/8,303.50
  6. Step 6: Final answer
    x = 6,578.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.