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Finding the Fourth Proportional to 7,316.97, 10,096.14 and 4,172.55

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Solution

The fourth proportional to 7,316.97, 10,096.14 and 4,172.55 is: 5,757.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,316.97 : 10,096.14 = 4,172.55 : x
  2. Step 2: Convert to fraction form
    7,316.97/10,096.14 = 4,172.55/x
  3. Step 3: Cross multiply
    7,316.97x = 10,096.14 × 4,172.55
  4. Step 4: Simplify right side
    7,316.97x = 42,126,648.96
  5. Step 5: Solve for x
    x = 42,126,648.96/7,316.97
  6. Step 6: Final answer
    x = 5,757.39

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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.