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Finding the Fourth Proportional to 11,596.12, 16,002.20 and 6,290.82

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Solution

The fourth proportional to 11,596.12, 16,002.20 and 6,290.82 is: 8,681.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.12 : 16,002.20 = 6,290.82 : x
  2. Step 2: Convert to fraction form
    11,596.12/16,002.20 = 6,290.82/x
  3. Step 3: Cross multiply
    11,596.12x = 16,002.20 × 6,290.82
  4. Step 4: Simplify right side
    11,596.12x = 100,666,959.80
  5. Step 5: Solve for x
    x = 100,666,959.80/11,596.12
  6. Step 6: Final answer
    x = 8,681.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.