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Finding the Fourth Proportional to 7,685.57, 11,530.94 and 3,006.76

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Solution

The fourth proportional to 7,685.57, 11,530.94 and 3,006.76 is: 4,511.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.57 : 11,530.94 = 3,006.76 : x
  2. Step 2: Convert to fraction form
    7,685.57/11,530.94 = 3,006.76/x
  3. Step 3: Cross multiply
    7,685.57x = 11,530.94 × 3,006.76
  4. Step 4: Simplify right side
    7,685.57x = 34,670,769.15
  5. Step 5: Solve for x
    x = 34,670,769.15/7,685.57
  6. Step 6: Final answer
    x = 4,511.15

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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.