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Finding the Fourth Proportional to 12,961.25, 17,886.56 and 7,296.09

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Solution

The fourth proportional to 12,961.25, 17,886.56 and 7,296.09 is: 10,068.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,961.25 : 17,886.56 = 7,296.09 : x
  2. Step 2: Convert to fraction form
    12,961.25/17,886.56 = 7,296.09/x
  3. Step 3: Cross multiply
    12,961.25x = 17,886.56 × 7,296.09
  4. Step 4: Simplify right side
    12,961.25x = 130,501,902.72
  5. Step 5: Solve for x
    x = 130,501,902.72/12,961.25
  6. Step 6: Final answer
    x = 10,068.62

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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.