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Finding the Fourth Proportional to 7,790.71, 11,690.67 and 3,112.92

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Solution

The fourth proportional to 7,790.71, 11,690.67 and 3,112.92 is: 4,671.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,790.71 : 11,690.67 = 3,112.92 : x
  2. Step 2: Convert to fraction form
    7,790.71/11,690.67 = 3,112.92/x
  3. Step 3: Cross multiply
    7,790.71x = 11,690.67 × 3,112.92
  4. Step 4: Simplify right side
    7,790.71x = 36,392,120.46
  5. Step 5: Solve for x
    x = 36,392,120.46/7,790.71
  6. Step 6: Final answer
    x = 4,671.22

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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.