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Finding the Fourth Proportional to 7,244.34, 9,996.93 and 4,057.62

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Solution

The fourth proportional to 7,244.34, 9,996.93 and 4,057.62 is: 5,599.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,244.34 : 9,996.93 = 4,057.62 : x
  2. Step 2: Convert to fraction form
    7,244.34/9,996.93 = 4,057.62/x
  3. Step 3: Cross multiply
    7,244.34x = 9,996.93 × 4,057.62
  4. Step 4: Simplify right side
    7,244.34x = 40,563,743.11
  5. Step 5: Solve for x
    x = 40,563,743.11/7,244.34
  6. Step 6: Final answer
    x = 5,599.37

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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.