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Finding the Fourth Proportional to 7,672.80, 11,511.90 and 7,402.80

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Solution

The fourth proportional to 7,672.80, 11,511.90 and 7,402.80 is: 11,106.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.80 : 11,511.90 = 7,402.80 : x
  2. Step 2: Convert to fraction form
    7,672.80/11,511.90 = 7,402.80/x
  3. Step 3: Cross multiply
    7,672.80x = 11,511.90 × 7,402.80
  4. Step 4: Simplify right side
    7,672.80x = 85,220,293.32
  5. Step 5: Solve for x
    x = 85,220,293.32/7,672.80
  6. Step 6: Final answer
    x = 11,106.80

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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.