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Finding the Fourth Proportional to 11,780.65, 16,257.03 and 6,402.96

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Solution

The fourth proportional to 11,780.65, 16,257.03 and 6,402.96 is: 8,835.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.65 : 16,257.03 = 6,402.96 : x
  2. Step 2: Convert to fraction form
    11,780.65/16,257.03 = 6,402.96/x
  3. Step 3: Cross multiply
    11,780.65x = 16,257.03 × 6,402.96
  4. Step 4: Simplify right side
    11,780.65x = 104,093,088.80
  5. Step 5: Solve for x
    x = 104,093,088.80/11,780.65
  6. Step 6: Final answer
    x = 8,835.94

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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.