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Finding the Fourth Proportional to 12,115.68, 16,711.86 and 7,635.60

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Solution

The fourth proportional to 12,115.68, 16,711.86 and 7,635.60 is: 10,532.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,115.68 : 16,711.86 = 7,635.60 : x
  2. Step 2: Convert to fraction form
    12,115.68/16,711.86 = 7,635.60/x
  3. Step 3: Cross multiply
    12,115.68x = 16,711.86 × 7,635.60
  4. Step 4: Simplify right side
    12,115.68x = 127,605,078.22
  5. Step 5: Solve for x
    x = 127,605,078.22/12,115.68
  6. Step 6: Final answer
    x = 10,532.23

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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.