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Finding the Fourth Proportional to 11,394.28, 15,723.75 and 6,681.70

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Solution

The fourth proportional to 11,394.28, 15,723.75 and 6,681.70 is: 9,220.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,394.28 : 15,723.75 = 6,681.70 : x
  2. Step 2: Convert to fraction form
    11,394.28/15,723.75 = 6,681.70/x
  3. Step 3: Cross multiply
    11,394.28x = 15,723.75 × 6,681.70
  4. Step 4: Simplify right side
    11,394.28x = 105,061,380.38
  5. Step 5: Solve for x
    x = 105,061,380.38/11,394.28
  6. Step 6: Final answer
    x = 9,220.54

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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.