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Finding the Fourth Proportional to 10,757.95, 14,845.75 and 5,977.89

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Solution

The fourth proportional to 10,757.95, 14,845.75 and 5,977.89 is: 8,249.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757.95 : 14,845.75 = 5,977.89 : x
  2. Step 2: Convert to fraction form
    10,757.95/14,845.75 = 5,977.89/x
  3. Step 3: Cross multiply
    10,757.95x = 14,845.75 × 5,977.89
  4. Step 4: Simplify right side
    10,757.95x = 88,746,245.52
  5. Step 5: Solve for x
    x = 88,746,245.52/10,757.95
  6. Step 6: Final answer
    x = 8,249.37

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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.