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Finding the Fourth Proportional to 12,120.64, 16,726 and 6,815.68

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Solution

The fourth proportional to 12,120.64, 16,726 and 6,815.68 is: 9,405.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,120.64 : 16,726 = 6,815.68 : x
  2. Step 2: Convert to fraction form
    12,120.64/16,726 = 6,815.68/x
  3. Step 3: Cross multiply
    12,120.64x = 16,726 × 6,815.68
  4. Step 4: Simplify right side
    12,120.64x = 113,999,063.68
  5. Step 5: Solve for x
    x = 113,999,063.68/12,120.64
  6. Step 6: Final answer
    x = 9,405.37

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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.