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Finding the Fourth Proportional to 12,610.75, 18,914.43 and 5,214.19

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Solution

The fourth proportional to 12,610.75, 18,914.43 and 5,214.19 is: 7,820.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,610.75 : 18,914.43 = 5,214.19 : x
  2. Step 2: Convert to fraction form
    12,610.75/18,914.43 = 5,214.19/x
  3. Step 3: Cross multiply
    12,610.75x = 18,914.43 × 5,214.19
  4. Step 4: Simplify right side
    12,610.75x = 98,623,431.76
  5. Step 5: Solve for x
    x = 98,623,431.76/12,610.75
  6. Step 6: Final answer
    x = 7,820.58

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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.