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Finding the Fourth Proportional to 12,380.83, 17,083.96 and 7,075.99

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Solution

The fourth proportional to 12,380.83, 17,083.96 and 7,075.99 is: 9,763.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380.83 : 17,083.96 = 7,075.99 : x
  2. Step 2: Convert to fraction form
    12,380.83/17,083.96 = 7,075.99/x
  3. Step 3: Cross multiply
    12,380.83x = 17,083.96 × 7,075.99
  4. Step 4: Simplify right side
    12,380.83x = 120,885,930.12
  5. Step 5: Solve for x
    x = 120,885,930.12/12,380.83
  6. Step 6: Final answer
    x = 9,763.96

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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.