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Finding the Fourth Proportional to 11,205.41, 16,790.76 and 7,697.09

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Solution

The fourth proportional to 11,205.41, 16,790.76 and 7,697.09 is: 11,533.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205.41 : 16,790.76 = 7,697.09 : x
  2. Step 2: Convert to fraction form
    11,205.41/16,790.76 = 7,697.09/x
  3. Step 3: Cross multiply
    11,205.41x = 16,790.76 × 7,697.09
  4. Step 4: Simplify right side
    11,205.41x = 129,240,032.87
  5. Step 5: Solve for x
    x = 129,240,032.87/11,205.41
  6. Step 6: Final answer
    x = 11,533.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.