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Finding the Fourth Proportional to 11,706.12, 16,153.86 and 8,575.56

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Solution

The fourth proportional to 11,706.12, 16,153.86 and 8,575.56 is: 11,833.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.12 : 16,153.86 = 8,575.56 : x
  2. Step 2: Convert to fraction form
    11,706.12/16,153.86 = 8,575.56/x
  3. Step 3: Cross multiply
    11,706.12x = 16,153.86 × 8,575.56
  4. Step 4: Simplify right side
    11,706.12x = 138,528,395.66
  5. Step 5: Solve for x
    x = 138,528,395.66/11,706.12
  6. Step 6: Final answer
    x = 11,833.84

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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.