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Finding the Fourth Proportional to 11,706.68, 17,560.26 and 5,465.00

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Solution

The fourth proportional to 11,706.68, 17,560.26 and 5,465.00 is: 8,197.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.68 : 17,560.26 = 5,465.00 : x
  2. Step 2: Convert to fraction form
    11,706.68/17,560.26 = 5,465.00/x
  3. Step 3: Cross multiply
    11,706.68x = 17,560.26 × 5,465.00
  4. Step 4: Simplify right side
    11,706.68x = 95,966,864.80
  5. Step 5: Solve for x
    x = 95,966,864.80/11,706.68
  6. Step 6: Final answer
    x = 8,197.61

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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.