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Finding the Fourth Proportional to 11,561.73, 15,955.16 and 6,256.64

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Solution

The fourth proportional to 11,561.73, 15,955.16 and 6,256.64 is: 8,634.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,561.73 : 15,955.16 = 6,256.64 : x
  2. Step 2: Convert to fraction form
    11,561.73/15,955.16 = 6,256.64/x
  3. Step 3: Cross multiply
    11,561.73x = 15,955.16 × 6,256.64
  4. Step 4: Simplify right side
    11,561.73x = 99,825,692.26
  5. Step 5: Solve for x
    x = 99,825,692.26/11,561.73
  6. Step 6: Final answer
    x = 8,634.15

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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.