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Finding the Fourth Proportional to 12,380.76, 17,082.90 and 7,075.50

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Solution

The fourth proportional to 12,380.76, 17,082.90 and 7,075.50 is: 9,762.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380.76 : 17,082.90 = 7,075.50 : x
  2. Step 2: Convert to fraction form
    12,380.76/17,082.90 = 7,075.50/x
  3. Step 3: Cross multiply
    12,380.76x = 17,082.90 × 7,075.50
  4. Step 4: Simplify right side
    12,380.76x = 120,870,058.95
  5. Step 5: Solve for x
    x = 120,870,058.95/12,380.76
  6. Step 6: Final answer
    x = 9,762.73

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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.