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Finding the Fourth Proportional to 11,611.35, 16,024.23 and 6,575.31

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Solution

The fourth proportional to 11,611.35, 16,024.23 and 6,575.31 is: 9,074.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611.35 : 16,024.23 = 6,575.31 : x
  2. Step 2: Convert to fraction form
    11,611.35/16,024.23 = 6,575.31/x
  3. Step 3: Cross multiply
    11,611.35x = 16,024.23 × 6,575.31
  4. Step 4: Simplify right side
    11,611.35x = 105,364,279.76
  5. Step 5: Solve for x
    x = 105,364,279.76/11,611.35
  6. Step 6: Final answer
    x = 9,074.25

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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.