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Finding the Fourth Proportional to 7,685.50, 11,541.22 and 6,998.62

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Solution

The fourth proportional to 7,685.50, 11,541.22 and 6,998.62 is: 10,509.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.50 : 11,541.22 = 6,998.62 : x
  2. Step 2: Convert to fraction form
    7,685.50/11,541.22 = 6,998.62/x
  3. Step 3: Cross multiply
    7,685.50x = 11,541.22 × 6,998.62
  4. Step 4: Simplify right side
    7,685.50x = 80,772,613.12
  5. Step 5: Solve for x
    x = 80,772,613.12/7,685.50
  6. Step 6: Final answer
    x = 10,509.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.