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Finding the Fourth Proportional to 7,765.80, 11,646.60 and 3,382.20

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Solution

The fourth proportional to 7,765.80, 11,646.60 and 3,382.20 is: 5,072.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.80 : 11,646.60 = 3,382.20 : x
  2. Step 2: Convert to fraction form
    7,765.80/11,646.60 = 3,382.20/x
  3. Step 3: Cross multiply
    7,765.80x = 11,646.60 × 3,382.20
  4. Step 4: Simplify right side
    7,765.80x = 39,391,130.52
  5. Step 5: Solve for x
    x = 39,391,130.52/7,765.80
  6. Step 6: Final answer
    x = 5,072.39

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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.