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Finding the Fourth Proportional to 12,546.63, 17,317.04 and 7,511.97

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Solution

The fourth proportional to 12,546.63, 17,317.04 and 7,511.97 is: 10,368.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.63 : 17,317.04 = 7,511.97 : x
  2. Step 2: Convert to fraction form
    12,546.63/17,317.04 = 7,511.97/x
  3. Step 3: Cross multiply
    12,546.63x = 17,317.04 × 7,511.97
  4. Step 4: Simplify right side
    12,546.63x = 130,085,084.97
  5. Step 5: Solve for x
    x = 130,085,084.97/12,546.63
  6. Step 6: Final answer
    x = 10,368.13

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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.