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Finding the Fourth Proportional to 12,868.53, 17,761.37 and 7,566.41

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Solution

The fourth proportional to 12,868.53, 17,761.37 and 7,566.41 is: 10,443.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,868.53 : 17,761.37 = 7,566.41 : x
  2. Step 2: Convert to fraction form
    12,868.53/17,761.37 = 7,566.41/x
  3. Step 3: Cross multiply
    12,868.53x = 17,761.37 × 7,566.41
  4. Step 4: Simplify right side
    12,868.53x = 134,389,807.58
  5. Step 5: Solve for x
    x = 134,389,807.58/12,868.53
  6. Step 6: Final answer
    x = 10,443.29

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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.