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Finding the Fourth Proportional to 11,415.40, 15,761.01 and 7,391.95

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Solution

The fourth proportional to 11,415.40, 15,761.01 and 7,391.95 is: 10,205.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415.40 : 15,761.01 = 7,391.95 : x
  2. Step 2: Convert to fraction form
    11,415.40/15,761.01 = 7,391.95/x
  3. Step 3: Cross multiply
    11,415.40x = 15,761.01 × 7,391.95
  4. Step 4: Simplify right side
    11,415.40x = 116,504,597.87
  5. Step 5: Solve for x
    x = 116,504,597.87/11,415.40
  6. Step 6: Final answer
    x = 10,205.91

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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.