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Finding the Fourth Proportional to 7,952.30, 10,974.24 and 4,415.84

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Solution

The fourth proportional to 7,952.30, 10,974.24 and 4,415.84 is: 6,093.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.30 : 10,974.24 = 4,415.84 : x
  2. Step 2: Convert to fraction form
    7,952.30/10,974.24 = 4,415.84/x
  3. Step 3: Cross multiply
    7,952.30x = 10,974.24 × 4,415.84
  4. Step 4: Simplify right side
    7,952.30x = 48,460,487.96
  5. Step 5: Solve for x
    x = 48,460,487.96/7,952.30
  6. Step 6: Final answer
    x = 6,093.90

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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.