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Finding the Fourth Proportional to 8,919.28, 12,308.57 and 5,142.43

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Solution

The fourth proportional to 8,919.28, 12,308.57 and 5,142.43 is: 7,096.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,919.28 : 12,308.57 = 5,142.43 : x
  2. Step 2: Convert to fraction form
    8,919.28/12,308.57 = 5,142.43/x
  3. Step 3: Cross multiply
    8,919.28x = 12,308.57 × 5,142.43
  4. Step 4: Simplify right side
    8,919.28x = 63,295,959.63
  5. Step 5: Solve for x
    x = 63,295,959.63/8,919.28
  6. Step 6: Final answer
    x = 7,096.53

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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.