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Finding the Fourth Proportional to 11,746.08, 17,613.54 and 6,817.23

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Solution

The fourth proportional to 11,746.08, 17,613.54 and 6,817.23 is: 10,222.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,746.08 : 17,613.54 = 6,817.23 : x
  2. Step 2: Convert to fraction form
    11,746.08/17,613.54 = 6,817.23/x
  3. Step 3: Cross multiply
    11,746.08x = 17,613.54 × 6,817.23
  4. Step 4: Simplify right side
    11,746.08x = 120,075,553.29
  5. Step 5: Solve for x
    x = 120,075,553.29/11,746.08
  6. Step 6: Final answer
    x = 10,222.61

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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.