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Finding the Fourth Proportional to 10,770.44, 14,863.14 and 6,054.76

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Solution

The fourth proportional to 10,770.44, 14,863.14 and 6,054.76 is: 8,355.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.44 : 14,863.14 = 6,054.76 : x
  2. Step 2: Convert to fraction form
    10,770.44/14,863.14 = 6,054.76/x
  3. Step 3: Cross multiply
    10,770.44x = 14,863.14 × 6,054.76
  4. Step 4: Simplify right side
    10,770.44x = 89,992,745.55
  5. Step 5: Solve for x
    x = 89,992,745.55/10,770.44
  6. Step 6: Final answer
    x = 8,355.53

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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.