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Finding the Fourth Proportional to 7,964.34, 10,990.71 and 4,427.46

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Solution

The fourth proportional to 7,964.34, 10,990.71 and 4,427.46 is: 6,109.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,964.34 : 10,990.71 = 4,427.46 : x
  2. Step 2: Convert to fraction form
    7,964.34/10,990.71 = 4,427.46/x
  3. Step 3: Cross multiply
    7,964.34x = 10,990.71 × 4,427.46
  4. Step 4: Simplify right side
    7,964.34x = 48,660,928.90
  5. Step 5: Solve for x
    x = 48,660,928.90/7,964.34
  6. Step 6: Final answer
    x = 6,109.85

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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.