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Finding the Fourth Proportional to 12,810.38, 19,202.38 and 4,910.75

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Solution

The fourth proportional to 12,810.38, 19,202.38 and 4,910.75 is: 7,361.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,810.38 : 19,202.38 = 4,910.75 : x
  2. Step 2: Convert to fraction form
    12,810.38/19,202.38 = 4,910.75/x
  3. Step 3: Cross multiply
    12,810.38x = 19,202.38 × 4,910.75
  4. Step 4: Simplify right side
    12,810.38x = 94,298,087.59
  5. Step 5: Solve for x
    x = 94,298,087.59/12,810.38
  6. Step 6: Final answer
    x = 7,361.07

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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.