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Finding the Fourth Proportional to 10,474.45, 14,454.45 and 5,997.81

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Solution

The fourth proportional to 10,474.45, 14,454.45 and 5,997.81 is: 8,276.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.45 : 14,454.45 = 5,997.81 : x
  2. Step 2: Convert to fraction form
    10,474.45/14,454.45 = 5,997.81/x
  3. Step 3: Cross multiply
    10,474.45x = 14,454.45 × 5,997.81
  4. Step 4: Simplify right side
    10,474.45x = 86,695,098.96
  5. Step 5: Solve for x
    x = 86,695,098.96/10,474.45
  6. Step 6: Final answer
    x = 8,276.82

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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.