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Finding the Fourth Proportional to 7,967.88, 11,950.64 and 2,702.82

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Solution

The fourth proportional to 7,967.88, 11,950.64 and 2,702.82 is: 4,053.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.88 : 11,950.64 = 2,702.82 : x
  2. Step 2: Convert to fraction form
    7,967.88/11,950.64 = 2,702.82/x
  3. Step 3: Cross multiply
    7,967.88x = 11,950.64 × 2,702.82
  4. Step 4: Simplify right side
    7,967.88x = 32,300,428.80
  5. Step 5: Solve for x
    x = 32,300,428.80/7,967.88
  6. Step 6: Final answer
    x = 4,053.83

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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.