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Finding the Fourth Proportional to 12,756.28, 17,612.43 and 7,978.30

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Solution

The fourth proportional to 12,756.28, 17,612.43 and 7,978.30 is: 11,015.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,756.28 : 17,612.43 = 7,978.30 : x
  2. Step 2: Convert to fraction form
    12,756.28/17,612.43 = 7,978.30/x
  3. Step 3: Cross multiply
    12,756.28x = 17,612.43 × 7,978.30
  4. Step 4: Simplify right side
    12,756.28x = 140,517,250.27
  5. Step 5: Solve for x
    x = 140,517,250.27/12,756.28
  6. Step 6: Final answer
    x = 11,015.54

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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.