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Finding the Fourth Proportional to 7,909.98, 11,844.57 and 7,676.46

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Solution

The fourth proportional to 7,909.98, 11,844.57 and 7,676.46 is: 11,494.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909.98 : 11,844.57 = 7,676.46 : x
  2. Step 2: Convert to fraction form
    7,909.98/11,844.57 = 7,676.46/x
  3. Step 3: Cross multiply
    7,909.98x = 11,844.57 × 7,676.46
  4. Step 4: Simplify right side
    7,909.98x = 90,924,367.82
  5. Step 5: Solve for x
    x = 90,924,367.82/7,909.98
  6. Step 6: Final answer
    x = 11,494.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.