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Finding the Fourth Proportional to 10,161.70, 14,022.70 and 5,684.61

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Solution

The fourth proportional to 10,161.70, 14,022.70 and 5,684.61 is: 7,844.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,161.70 : 14,022.70 = 5,684.61 : x
  2. Step 2: Convert to fraction form
    10,161.70/14,022.70 = 5,684.61/x
  3. Step 3: Cross multiply
    10,161.70x = 14,022.70 × 5,684.61
  4. Step 4: Simplify right side
    10,161.70x = 79,713,580.65
  5. Step 5: Solve for x
    x = 79,713,580.65/10,161.70
  6. Step 6: Final answer
    x = 7,844.51

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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.