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Finding the Fourth Proportional to 10,765.56, 14,857.87 and 6,049.84

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Solution

The fourth proportional to 10,765.56, 14,857.87 and 6,049.84 is: 8,349.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.56 : 14,857.87 = 6,049.84 : x
  2. Step 2: Convert to fraction form
    10,765.56/14,857.87 = 6,049.84/x
  3. Step 3: Cross multiply
    10,765.56x = 14,857.87 × 6,049.84
  4. Step 4: Simplify right side
    10,765.56x = 89,887,736.24
  5. Step 5: Solve for x
    x = 89,887,736.24/10,765.56
  6. Step 6: Final answer
    x = 8,349.56

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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.