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Finding the Fourth Proportional to 11,780.84, 16,257.43 and 6,403.16

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Solution

The fourth proportional to 11,780.84, 16,257.43 and 6,403.16 is: 8,836.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.84 : 16,257.43 = 6,403.16 : x
  2. Step 2: Convert to fraction form
    11,780.84/16,257.43 = 6,403.16/x
  3. Step 3: Cross multiply
    11,780.84x = 16,257.43 × 6,403.16
  4. Step 4: Simplify right side
    11,780.84x = 104,098,974.13
  5. Step 5: Solve for x
    x = 104,098,974.13/11,780.84
  6. Step 6: Final answer
    x = 8,836.29

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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.