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Finding the Fourth Proportional to 11,596.67, 17,389.18 and 5,674.00

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Solution

The fourth proportional to 11,596.67, 17,389.18 and 5,674.00 is: 8,508.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.67 : 17,389.18 = 5,674.00 : x
  2. Step 2: Convert to fraction form
    11,596.67/17,389.18 = 5,674.00/x
  3. Step 3: Cross multiply
    11,596.67x = 17,389.18 × 5,674.00
  4. Step 4: Simplify right side
    11,596.67x = 98,666,203.54
  5. Step 5: Solve for x
    x = 98,666,203.54/11,596.67
  6. Step 6: Final answer
    x = 8,508.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.