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Finding the Fourth Proportional to 11,726.49, 16,182.55 and 6,421.32

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Solution

The fourth proportional to 11,726.49, 16,182.55 and 6,421.32 is: 8,861.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,726.49 : 16,182.55 = 6,421.32 : x
  2. Step 2: Convert to fraction form
    11,726.49/16,182.55 = 6,421.32/x
  3. Step 3: Cross multiply
    11,726.49x = 16,182.55 × 6,421.32
  4. Step 4: Simplify right side
    11,726.49x = 103,913,331.97
  5. Step 5: Solve for x
    x = 103,913,331.97/11,726.49
  6. Step 6: Final answer
    x = 8,861.42

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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.