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Finding the Fourth Proportional to 7,677.18, 11,515.80 and 2,340.41

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Solution

The fourth proportional to 7,677.18, 11,515.80 and 2,340.41 is: 3,510.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.18 : 11,515.80 = 2,340.41 : x
  2. Step 2: Convert to fraction form
    7,677.18/11,515.80 = 2,340.41/x
  3. Step 3: Cross multiply
    7,677.18x = 11,515.80 × 2,340.41
  4. Step 4: Simplify right side
    7,677.18x = 26,951,709.45
  5. Step 5: Solve for x
    x = 26,951,709.45/7,677.18
  6. Step 6: Final answer
    x = 3,510.63

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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.