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Finding the Fourth Proportional to 7,763.33, 11,646.80 and 2,216.75

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Solution

The fourth proportional to 7,763.33, 11,646.80 and 2,216.75 is: 3,325.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.33 : 11,646.80 = 2,216.75 : x
  2. Step 2: Convert to fraction form
    7,763.33/11,646.80 = 2,216.75/x
  3. Step 3: Cross multiply
    7,763.33x = 11,646.80 × 2,216.75
  4. Step 4: Simplify right side
    7,763.33x = 25,817,974.58
  5. Step 5: Solve for x
    x = 25,817,974.58/7,763.33
  6. Step 6: Final answer
    x = 3,325.63

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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.