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Finding the Fourth Proportional to 8,926.67, 12,308.38 and 7,242.82

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Solution

The fourth proportional to 8,926.67, 12,308.38 and 7,242.82 is: 9,986.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,926.67 : 12,308.38 = 7,242.82 : x
  2. Step 2: Convert to fraction form
    8,926.67/12,308.38 = 7,242.82/x
  3. Step 3: Cross multiply
    8,926.67x = 12,308.38 × 7,242.82
  4. Step 4: Simplify right side
    8,926.67x = 89,147,380.83
  5. Step 5: Solve for x
    x = 89,147,380.83/8,926.67
  6. Step 6: Final answer
    x = 9,986.63

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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.