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Finding the Fourth Proportional to 7,667.28, 10,570.92 and 5,674.38

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Solution

The fourth proportional to 7,667.28, 10,570.92 and 5,674.38 is: 7,823.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667.28 : 10,570.92 = 5,674.38 : x
  2. Step 2: Convert to fraction form
    7,667.28/10,570.92 = 5,674.38/x
  3. Step 3: Cross multiply
    7,667.28x = 10,570.92 × 5,674.38
  4. Step 4: Simplify right side
    7,667.28x = 59,983,417.03
  5. Step 5: Solve for x
    x = 59,983,417.03/7,667.28
  6. Step 6: Final answer
    x = 7,823.30

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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.