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Finding the Fourth Proportional to 11,780.43, 16,255.65 and 6,474.93

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Solution

The fourth proportional to 11,780.43, 16,255.65 and 6,474.93 is: 8,934.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.43 : 16,255.65 = 6,474.93 : x
  2. Step 2: Convert to fraction form
    11,780.43/16,255.65 = 6,474.93/x
  3. Step 3: Cross multiply
    11,780.43x = 16,255.65 × 6,474.93
  4. Step 4: Simplify right side
    11,780.43x = 105,254,195.85
  5. Step 5: Solve for x
    x = 105,254,195.85/11,780.43
  6. Step 6: Final answer
    x = 8,934.67

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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.