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Finding the Fourth Proportional to 7,417.28, 10,237.92 and 4,274.72

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Solution

The fourth proportional to 7,417.28, 10,237.92 and 4,274.72 is: 5,900.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,417.28 : 10,237.92 = 4,274.72 : x
  2. Step 2: Convert to fraction form
    7,417.28/10,237.92 = 4,274.72/x
  3. Step 3: Cross multiply
    7,417.28x = 10,237.92 × 4,274.72
  4. Step 4: Simplify right side
    7,417.28x = 43,764,241.38
  5. Step 5: Solve for x
    x = 43,764,241.38/7,417.28
  6. Step 6: Final answer
    x = 5,900.31

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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.