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Finding the Fourth Proportional to 10,454.70, 14,427.19 and 5,738.98

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Solution

The fourth proportional to 10,454.70, 14,427.19 and 5,738.98 is: 7,919.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.70 : 14,427.19 = 5,738.98 : x
  2. Step 2: Convert to fraction form
    10,454.70/14,427.19 = 5,738.98/x
  3. Step 3: Cross multiply
    10,454.70x = 14,427.19 × 5,738.98
  4. Step 4: Simplify right side
    10,454.70x = 82,797,354.87
  5. Step 5: Solve for x
    x = 82,797,354.87/10,454.70
  6. Step 6: Final answer
    x = 7,919.63

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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.