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Finding the Fourth Proportional to 7,672.14, 11,508.86 and 2,125.49

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Solution

The fourth proportional to 7,672.14, 11,508.86 and 2,125.49 is: 3,188.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.14 : 11,508.86 = 2,125.49 : x
  2. Step 2: Convert to fraction form
    7,672.14/11,508.86 = 2,125.49/x
  3. Step 3: Cross multiply
    7,672.14x = 11,508.86 × 2,125.49
  4. Step 4: Simplify right side
    7,672.14x = 24,461,914.61
  5. Step 5: Solve for x
    x = 24,461,914.61/7,672.14
  6. Step 6: Final answer
    x = 3,188.41

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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.