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Finding the Fourth Proportional to 13,763.10, 18,992.37 and 7,475.46

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Solution

The fourth proportional to 13,763.10, 18,992.37 and 7,475.46 is: 10,315.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,763.10 : 18,992.37 = 7,475.46 : x
  2. Step 2: Convert to fraction form
    13,763.10/18,992.37 = 7,475.46/x
  3. Step 3: Cross multiply
    13,763.10x = 18,992.37 × 7,475.46
  4. Step 4: Simplify right side
    13,763.10x = 141,976,702.24
  5. Step 5: Solve for x
    x = 141,976,702.24/13,763.10
  6. Step 6: Final answer
    x = 10,315.75

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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.