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Finding the Fourth Proportional to 12,113.64, 16,716.24 and 6,808.95

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Solution

The fourth proportional to 12,113.64, 16,716.24 and 6,808.95 is: 9,396.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,113.64 : 16,716.24 = 6,808.95 : x
  2. Step 2: Convert to fraction form
    12,113.64/16,716.24 = 6,808.95/x
  3. Step 3: Cross multiply
    12,113.64x = 16,716.24 × 6,808.95
  4. Step 4: Simplify right side
    12,113.64x = 113,820,042.35
  5. Step 5: Solve for x
    x = 113,820,042.35/12,113.64
  6. Step 6: Final answer
    x = 9,396.02

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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.