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Finding the Fourth Proportional to 11,611.19, 16,023.14 and 6,575.90

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Solution

The fourth proportional to 11,611.19, 16,023.14 and 6,575.90 is: 9,074.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611.19 : 16,023.14 = 6,575.90 : x
  2. Step 2: Convert to fraction form
    11,611.19/16,023.14 = 6,575.90/x
  3. Step 3: Cross multiply
    11,611.19x = 16,023.14 × 6,575.90
  4. Step 4: Simplify right side
    11,611.19x = 105,366,453.33
  5. Step 5: Solve for x
    x = 105,366,453.33/11,611.19
  6. Step 6: Final answer
    x = 9,074.57

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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.