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Finding the Fourth Proportional to 12,107.12, 16,695.84 and 7,388.60

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Solution

The fourth proportional to 12,107.12, 16,695.84 and 7,388.60 is: 10,188.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.12 : 16,695.84 = 7,388.60 : x
  2. Step 2: Convert to fraction form
    12,107.12/16,695.84 = 7,388.60/x
  3. Step 3: Cross multiply
    12,107.12x = 16,695.84 × 7,388.60
  4. Step 4: Simplify right side
    12,107.12x = 123,358,883.42
  5. Step 5: Solve for x
    x = 123,358,883.42/12,107.12
  6. Step 6: Final answer
    x = 10,188.95

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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.