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Finding the Fourth Proportional to 13,540.64, 18,692.16 and 7,952

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Solution

The fourth proportional to 13,540.64, 18,692.16 and 7,952 is: 10,977.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,540.64 : 18,692.16 = 7,952 : x
  2. Step 2: Convert to fraction form
    13,540.64/18,692.16 = 7,952/x
  3. Step 3: Cross multiply
    13,540.64x = 18,692.16 × 7,952
  4. Step 4: Simplify right side
    13,540.64x = 148,640,056.32
  5. Step 5: Solve for x
    x = 148,640,056.32/13,540.64
  6. Step 6: Final answer
    x = 10,977.33

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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.