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Finding the Fourth Proportional to 7,951.28, 10,997.40 and 6,289.12

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Solution

The fourth proportional to 7,951.28, 10,997.40 and 6,289.12 is: 8,698.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.28 : 10,997.40 = 6,289.12 : x
  2. Step 2: Convert to fraction form
    7,951.28/10,997.40 = 6,289.12/x
  3. Step 3: Cross multiply
    7,951.28x = 10,997.40 × 6,289.12
  4. Step 4: Simplify right side
    7,951.28x = 69,163,968.29
  5. Step 5: Solve for x
    x = 69,163,968.29/7,951.28
  6. Step 6: Final answer
    x = 8,698.47

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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.