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Finding the Fourth Proportional to 12,866.37, 17,759.97 and 7,562.76

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Solution

The fourth proportional to 12,866.37, 17,759.97 and 7,562.76 is: 10,439.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,866.37 : 17,759.97 = 7,562.76 : x
  2. Step 2: Convert to fraction form
    12,866.37/17,759.97 = 7,562.76/x
  3. Step 3: Cross multiply
    12,866.37x = 17,759.97 × 7,562.76
  4. Step 4: Simplify right side
    12,866.37x = 134,314,390.72
  5. Step 5: Solve for x
    x = 134,314,390.72/12,866.37
  6. Step 6: Final answer
    x = 10,439.18

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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.