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Finding the Fourth Proportional to 11,706.56, 17,566.77 and 4,316.22

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Solution

The fourth proportional to 11,706.56, 17,566.77 and 4,316.22 is: 6,476.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.56 : 17,566.77 = 4,316.22 : x
  2. Step 2: Convert to fraction form
    11,706.56/17,566.77 = 4,316.22/x
  3. Step 3: Cross multiply
    11,706.56x = 17,566.77 × 4,316.22
  4. Step 4: Simplify right side
    11,706.56x = 75,822,044.01
  5. Step 5: Solve for x
    x = 75,822,044.01/11,706.56
  6. Step 6: Final answer
    x = 6,476.89

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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.