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Finding the Fourth Proportional to 7,970.28, 10,998.72 and 4,433.64

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Solution

The fourth proportional to 7,970.28, 10,998.72 and 4,433.64 is: 6,118.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.28 : 10,998.72 = 4,433.64 : x
  2. Step 2: Convert to fraction form
    7,970.28/10,998.72 = 4,433.64/x
  3. Step 3: Cross multiply
    7,970.28x = 10,998.72 × 4,433.64
  4. Step 4: Simplify right side
    7,970.28x = 48,764,364.94
  5. Step 5: Solve for x
    x = 48,764,364.94/7,970.28
  6. Step 6: Final answer
    x = 6,118.28

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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.