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Finding the Fourth Proportional to 11,805.43, 16,291.86 and 6,428.23

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Solution

The fourth proportional to 11,805.43, 16,291.86 and 6,428.23 is: 8,871.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.43 : 16,291.86 = 6,428.23 : x
  2. Step 2: Convert to fraction form
    11,805.43/16,291.86 = 6,428.23/x
  3. Step 3: Cross multiply
    11,805.43x = 16,291.86 × 6,428.23
  4. Step 4: Simplify right side
    11,805.43x = 104,727,823.21
  5. Step 5: Solve for x
    x = 104,727,823.21/11,805.43
  6. Step 6: Final answer
    x = 8,871.16

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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.