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Finding the Fourth Proportional to 11,780.73, 16,257.05 and 6,475.53

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Solution

The fourth proportional to 11,780.73, 16,257.05 and 6,475.53 is: 8,936.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.73 : 16,257.05 = 6,475.53 : x
  2. Step 2: Convert to fraction form
    11,780.73/16,257.05 = 6,475.53/x
  3. Step 3: Cross multiply
    11,780.73x = 16,257.05 × 6,475.53
  4. Step 4: Simplify right side
    11,780.73x = 105,272,982.61
  5. Step 5: Solve for x
    x = 105,272,982.61/11,780.73
  6. Step 6: Final answer
    x = 8,936.03

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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.