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Finding the Fourth Proportional to 12,378.86, 17,082.73 and 6,713.48

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Solution

The fourth proportional to 12,378.86, 17,082.73 and 6,713.48 is: 9,264.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.86 : 17,082.73 = 6,713.48 : x
  2. Step 2: Convert to fraction form
    12,378.86/17,082.73 = 6,713.48/x
  3. Step 3: Cross multiply
    12,378.86x = 17,082.73 × 6,713.48
  4. Step 4: Simplify right side
    12,378.86x = 114,684,617.30
  5. Step 5: Solve for x
    x = 114,684,617.30/12,378.86
  6. Step 6: Final answer
    x = 9,264.55

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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.