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Finding the Fourth Proportional to 7,318.08, 10,096.47 and 4,131

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Solution

The fourth proportional to 7,318.08, 10,096.47 and 4,131 is: 5,699.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,318.08 : 10,096.47 = 4,131 : x
  2. Step 2: Convert to fraction form
    7,318.08/10,096.47 = 4,131/x
  3. Step 3: Cross multiply
    7,318.08x = 10,096.47 × 4,131
  4. Step 4: Simplify right side
    7,318.08x = 41,708,517.57
  5. Step 5: Solve for x
    x = 41,708,517.57/7,318.08
  6. Step 6: Final answer
    x = 5,699.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.