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Finding the Fourth Proportional to 10,454.80, 14,427.44 and 5,738.80

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Solution

The fourth proportional to 10,454.80, 14,427.44 and 5,738.80 is: 7,919.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.80 : 14,427.44 = 5,738.80 : x
  2. Step 2: Convert to fraction form
    10,454.80/14,427.44 = 5,738.80/x
  3. Step 3: Cross multiply
    10,454.80x = 14,427.44 × 5,738.80
  4. Step 4: Simplify right side
    10,454.80x = 82,796,192.67
  5. Step 5: Solve for x
    x = 82,796,192.67/10,454.80
  6. Step 6: Final answer
    x = 7,919.44

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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.