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Finding the Fourth Proportional to 12,380.33, 17,086.02 and 7,074.11

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Solution

The fourth proportional to 12,380.33, 17,086.02 and 7,074.11 is: 9,762.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380.33 : 17,086.02 = 7,074.11 : x
  2. Step 2: Convert to fraction form
    12,380.33/17,086.02 = 7,074.11/x
  3. Step 3: Cross multiply
    12,380.33x = 17,086.02 × 7,074.11
  4. Step 4: Simplify right side
    12,380.33x = 120,868,349.57
  5. Step 5: Solve for x
    x = 120,868,349.57/12,380.33
  6. Step 6: Final answer
    x = 9,762.94

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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.