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Finding the Fourth Proportional to 11,611.60, 16,002.12 and 11,438.80

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Solution

The fourth proportional to 11,611.60, 16,002.12 and 11,438.80 is: 15,763.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611.60 : 16,002.12 = 11,438.80 : x
  2. Step 2: Convert to fraction form
    11,611.60/16,002.12 = 11,438.80/x
  3. Step 3: Cross multiply
    11,611.60x = 16,002.12 × 11,438.80
  4. Step 4: Simplify right side
    11,611.60x = 183,045,050.26
  5. Step 5: Solve for x
    x = 183,045,050.26/11,611.60
  6. Step 6: Final answer
    x = 15,763.98

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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.