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Finding the Fourth Proportional to 7,891.46, 11,818.74 and 6,236.90

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Solution

The fourth proportional to 7,891.46, 11,818.74 and 6,236.90 is: 9,340.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.46 : 11,818.74 = 6,236.90 : x
  2. Step 2: Convert to fraction form
    7,891.46/11,818.74 = 6,236.90/x
  3. Step 3: Cross multiply
    7,891.46x = 11,818.74 × 6,236.90
  4. Step 4: Simplify right side
    7,891.46x = 73,712,299.51
  5. Step 5: Solve for x
    x = 73,712,299.51/7,891.46
  6. Step 6: Final answer
    x = 9,340.77

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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.