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Finding the Fourth Proportional to 11,458.63, 17,186.42 and 5,211.91

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Solution

The fourth proportional to 11,458.63, 17,186.42 and 5,211.91 is: 7,817.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,458.63 : 17,186.42 = 5,211.91 : x
  2. Step 2: Convert to fraction form
    11,458.63/17,186.42 = 5,211.91/x
  3. Step 3: Cross multiply
    11,458.63x = 17,186.42 × 5,211.91
  4. Step 4: Simplify right side
    11,458.63x = 89,574,044.33
  5. Step 5: Solve for x
    x = 89,574,044.33/11,458.63
  6. Step 6: Final answer
    x = 7,817.17

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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.