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Finding the Fourth Proportional to 11,311.65, 15,610.09 and 6,596.84

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Solution

The fourth proportional to 11,311.65, 15,610.09 and 6,596.84 is: 9,103.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,311.65 : 15,610.09 = 6,596.84 : x
  2. Step 2: Convert to fraction form
    11,311.65/15,610.09 = 6,596.84/x
  3. Step 3: Cross multiply
    11,311.65x = 15,610.09 × 6,596.84
  4. Step 4: Simplify right side
    11,311.65x = 102,977,266.12
  5. Step 5: Solve for x
    x = 102,977,266.12/11,311.65
  6. Step 6: Final answer
    x = 9,103.65

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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.