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Finding the Fourth Proportional to 10,757.85, 14,846.49 and 6,042.13

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Solution

The fourth proportional to 10,757.85, 14,846.49 and 6,042.13 is: 8,338.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757.85 : 14,846.49 = 6,042.13 : x
  2. Step 2: Convert to fraction form
    10,757.85/14,846.49 = 6,042.13/x
  3. Step 3: Cross multiply
    10,757.85x = 14,846.49 × 6,042.13
  4. Step 4: Simplify right side
    10,757.85x = 89,704,318.18
  5. Step 5: Solve for x
    x = 89,704,318.18/10,757.85
  6. Step 6: Final answer
    x = 8,338.50

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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.