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Finding the Fourth Proportional to 11,726.57, 16,182.71 and 6,421.34

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Solution

The fourth proportional to 11,726.57, 16,182.71 and 6,421.34 is: 8,861.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,726.57 : 16,182.71 = 6,421.34 : x
  2. Step 2: Convert to fraction form
    11,726.57/16,182.71 = 6,421.34/x
  3. Step 3: Cross multiply
    11,726.57x = 16,182.71 × 6,421.34
  4. Step 4: Simplify right side
    11,726.57x = 103,914,683.03
  5. Step 5: Solve for x
    x = 103,914,683.03/11,726.57
  6. Step 6: Final answer
    x = 8,861.47

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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.