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Finding the Fourth Proportional to 8,367.60, 11,546 and 4,830.13

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Solution

The fourth proportional to 8,367.60, 11,546 and 4,830.13 is: 6,664.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,367.60 : 11,546 = 4,830.13 : x
  2. Step 2: Convert to fraction form
    8,367.60/11,546 = 4,830.13/x
  3. Step 3: Cross multiply
    8,367.60x = 11,546 × 4,830.13
  4. Step 4: Simplify right side
    8,367.60x = 55,768,623.25
  5. Step 5: Solve for x
    x = 55,768,623.25/8,367.60
  6. Step 6: Final answer
    x = 6,664.83

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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.