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Finding the Fourth Proportional to 7,818.76, 11,728.02 and 3,139.96

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Solution

The fourth proportional to 7,818.76, 11,728.02 and 3,139.96 is: 4,709.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,818.76 : 11,728.02 = 3,139.96 : x
  2. Step 2: Convert to fraction form
    7,818.76/11,728.02 = 3,139.96/x
  3. Step 3: Cross multiply
    7,818.76x = 11,728.02 × 3,139.96
  4. Step 4: Simplify right side
    7,818.76x = 36,825,513.68
  5. Step 5: Solve for x
    x = 36,825,513.68/7,818.76
  6. Step 6: Final answer
    x = 4,709.89

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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.