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Finding the Fourth Proportional to 12,382.49, 17,082.15 and 7,904

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Solution

The fourth proportional to 12,382.49, 17,082.15 and 7,904 is: 10,903.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.49 : 17,082.15 = 7,904 : x
  2. Step 2: Convert to fraction form
    12,382.49/17,082.15 = 7,904/x
  3. Step 3: Cross multiply
    12,382.49x = 17,082.15 × 7,904
  4. Step 4: Simplify right side
    12,382.49x = 135,017,313.60
  5. Step 5: Solve for x
    x = 135,017,313.60/12,382.49
  6. Step 6: Final answer
    x = 10,903.89

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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.