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Finding the Fourth Proportional to 10,755.81, 16,133.69 and 7,057.16

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Solution

The fourth proportional to 10,755.81, 16,133.69 and 7,057.16 is: 10,585.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,755.81 : 16,133.69 = 7,057.16 : x
  2. Step 2: Convert to fraction form
    10,755.81/16,133.69 = 7,057.16/x
  3. Step 3: Cross multiply
    10,755.81x = 16,133.69 × 7,057.16
  4. Step 4: Simplify right side
    10,755.81x = 113,858,031.72
  5. Step 5: Solve for x
    x = 113,858,031.72/10,755.81
  6. Step 6: Final answer
    x = 10,585.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.