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Finding the Fourth Proportional to 12,382.74, 17,082.50 and 7,904.25

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Solution

The fourth proportional to 12,382.74, 17,082.50 and 7,904.25 is: 10,904.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.74 : 17,082.50 = 7,904.25 : x
  2. Step 2: Convert to fraction form
    12,382.74/17,082.50 = 7,904.25/x
  3. Step 3: Cross multiply
    12,382.74x = 17,082.50 × 7,904.25
  4. Step 4: Simplify right side
    12,382.74x = 135,024,311.10
  5. Step 5: Solve for x
    x = 135,024,311.10/12,382.74
  6. Step 6: Final answer
    x = 10,904.24

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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.