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Finding the Fourth Proportional to 10,755.75, 14,816.48 and 9,157.26

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Solution

The fourth proportional to 10,755.75, 14,816.48 and 9,157.26 is: 12,614.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,755.75 : 14,816.48 = 9,157.26 : x
  2. Step 2: Convert to fraction form
    10,755.75/14,816.48 = 9,157.26/x
  3. Step 3: Cross multiply
    10,755.75x = 14,816.48 × 9,157.26
  4. Step 4: Simplify right side
    10,755.75x = 135,678,313.86
  5. Step 5: Solve for x
    x = 135,678,313.86/10,755.75
  6. Step 6: Final answer
    x = 12,614.49

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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.