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Finding the Fourth Proportional to 7,316.57, 10,096.83 and 3,959.38

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Solution

The fourth proportional to 7,316.57, 10,096.83 and 3,959.38 is: 5,463.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,316.57 : 10,096.83 = 3,959.38 : x
  2. Step 2: Convert to fraction form
    7,316.57/10,096.83 = 3,959.38/x
  3. Step 3: Cross multiply
    7,316.57x = 10,096.83 × 3,959.38
  4. Step 4: Simplify right side
    7,316.57x = 39,977,161.52
  5. Step 5: Solve for x
    x = 39,977,161.52/7,316.57
  6. Step 6: Final answer
    x = 5,463.92

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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.