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Finding the Fourth Proportional to 8,524.07, 12,780.16 and 3,777.65

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Solution

The fourth proportional to 8,524.07, 12,780.16 and 3,777.65 is: 5,663.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.07 : 12,780.16 = 3,777.65 : x
  2. Step 2: Convert to fraction form
    8,524.07/12,780.16 = 3,777.65/x
  3. Step 3: Cross multiply
    8,524.07x = 12,780.16 × 3,777.65
  4. Step 4: Simplify right side
    8,524.07x = 48,278,888.63
  5. Step 5: Solve for x
    x = 48,278,888.63/8,524.07
  6. Step 6: Final answer
    x = 5,663.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.