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Finding the Fourth Proportional to 10,474.72, 14,441.70 and 8,579.32

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Solution

The fourth proportional to 10,474.72, 14,441.70 and 8,579.32 is: 11,828.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.72 : 14,441.70 = 8,579.32 : x
  2. Step 2: Convert to fraction form
    10,474.72/14,441.70 = 8,579.32/x
  3. Step 3: Cross multiply
    10,474.72x = 14,441.70 × 8,579.32
  4. Step 4: Simplify right side
    10,474.72x = 123,899,965.64
  5. Step 5: Solve for x
    x = 123,899,965.64/10,474.72
  6. Step 6: Final answer
    x = 11,828.48

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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.