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Finding the Fourth Proportional to 8,696.82, 12,001.32 and 5,157.96

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Solution

The fourth proportional to 8,696.82, 12,001.32 and 5,157.96 is: 7,117.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696.82 : 12,001.32 = 5,157.96 : x
  2. Step 2: Convert to fraction form
    8,696.82/12,001.32 = 5,157.96/x
  3. Step 3: Cross multiply
    8,696.82x = 12,001.32 × 5,157.96
  4. Step 4: Simplify right side
    8,696.82x = 61,902,328.51
  5. Step 5: Solve for x
    x = 61,902,328.51/8,696.82
  6. Step 6: Final answer
    x = 7,117.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.