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Finding the Fourth Proportional to 8,091, 12,136.48 and 4,625.82

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Solution

The fourth proportional to 8,091, 12,136.48 and 4,625.82 is: 6,938.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,091 : 12,136.48 = 4,625.82 : x
  2. Step 2: Convert to fraction form
    8,091/12,136.48 = 4,625.82/x
  3. Step 3: Cross multiply
    8,091x = 12,136.48 × 4,625.82
  4. Step 4: Simplify right side
    8,091x = 56,141,171.91
  5. Step 5: Solve for x
    x = 56,141,171.91/8,091
  6. Step 6: Final answer
    x = 6,938.72

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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.