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Finding the Fourth Proportional to 11,596.80, 17,391.68 and 3,276.16

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Solution

The fourth proportional to 11,596.80, 17,391.68 and 3,276.16 is: 4,913.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.80 : 17,391.68 = 3,276.16 : x
  2. Step 2: Convert to fraction form
    11,596.80/17,391.68 = 3,276.16/x
  3. Step 3: Cross multiply
    11,596.80x = 17,391.68 × 3,276.16
  4. Step 4: Simplify right side
    11,596.80x = 56,977,926.35
  5. Step 5: Solve for x
    x = 56,977,926.35/11,596.80
  6. Step 6: Final answer
    x = 4,913.25

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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.