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Finding the Fourth Proportional to 10,454.58, 14,427.56 and 5,738.86

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Solution

The fourth proportional to 10,454.58, 14,427.56 and 5,738.86 is: 7,919.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.58 : 14,427.56 = 5,738.86 : x
  2. Step 2: Convert to fraction form
    10,454.58/14,427.56 = 5,738.86/x
  3. Step 3: Cross multiply
    10,454.58x = 14,427.56 × 5,738.86
  4. Step 4: Simplify right side
    10,454.58x = 82,797,746.98
  5. Step 5: Solve for x
    x = 82,797,746.98/10,454.58
  6. Step 6: Final answer
    x = 7,919.76

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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.