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Finding the Fourth Proportional to 11,655.40, 16,086.18 and 7,475.80

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Solution

The fourth proportional to 11,655.40, 16,086.18 and 7,475.80 is: 10,317.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.40 : 16,086.18 = 7,475.80 : x
  2. Step 2: Convert to fraction form
    11,655.40/16,086.18 = 7,475.80/x
  3. Step 3: Cross multiply
    11,655.40x = 16,086.18 × 7,475.80
  4. Step 4: Simplify right side
    11,655.40x = 120,257,064.44
  5. Step 5: Solve for x
    x = 120,257,064.44/11,655.40
  6. Step 6: Final answer
    x = 10,317.71

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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.