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Finding the Fourth Proportional to 12,382.47, 17,088.44 and 7,902.63

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Solution

The fourth proportional to 12,382.47, 17,088.44 and 7,902.63 is: 10,906.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.47 : 17,088.44 = 7,902.63 : x
  2. Step 2: Convert to fraction form
    12,382.47/17,088.44 = 7,902.63/x
  3. Step 3: Cross multiply
    12,382.47x = 17,088.44 × 7,902.63
  4. Step 4: Simplify right side
    12,382.47x = 135,043,579.08
  5. Step 5: Solve for x
    x = 135,043,579.08/12,382.47
  6. Step 6: Final answer
    x = 10,906.03

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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.