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Finding the Fourth Proportional to 10,755.37, 14,842.47 and 5,975.32

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Solution

The fourth proportional to 10,755.37, 14,842.47 and 5,975.32 is: 8,245.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,755.37 : 14,842.47 = 5,975.32 : x
  2. Step 2: Convert to fraction form
    10,755.37/14,842.47 = 5,975.32/x
  3. Step 3: Cross multiply
    10,755.37x = 14,842.47 × 5,975.32
  4. Step 4: Simplify right side
    10,755.37x = 88,688,507.84
  5. Step 5: Solve for x
    x = 88,688,507.84/10,755.37
  6. Step 6: Final answer
    x = 8,245.97

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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.