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Finding the Fourth Proportional to 12,758.46, 17,600.94 and 7,450.13

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Solution

The fourth proportional to 12,758.46, 17,600.94 and 7,450.13 is: 10,277.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,758.46 : 17,600.94 = 7,450.13 : x
  2. Step 2: Convert to fraction form
    12,758.46/17,600.94 = 7,450.13/x
  3. Step 3: Cross multiply
    12,758.46x = 17,600.94 × 7,450.13
  4. Step 4: Simplify right side
    12,758.46x = 131,129,203.12
  5. Step 5: Solve for x
    x = 131,129,203.12/12,758.46
  6. Step 6: Final answer
    x = 10,277.82

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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.