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Finding the Fourth Proportional to 10,632.69, 14,672.21 and 5,917.41

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Solution

The fourth proportional to 10,632.69, 14,672.21 and 5,917.41 is: 8,165.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,632.69 : 14,672.21 = 5,917.41 : x
  2. Step 2: Convert to fraction form
    10,632.69/14,672.21 = 5,917.41/x
  3. Step 3: Cross multiply
    10,632.69x = 14,672.21 × 5,917.41
  4. Step 4: Simplify right side
    10,632.69x = 86,821,452.59
  5. Step 5: Solve for x
    x = 86,821,452.59/10,632.69
  6. Step 6: Final answer
    x = 8,165.52

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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.