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Finding the Fourth Proportional to 12,054.40, 16,634.16 and 6,748

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Solution

The fourth proportional to 12,054.40, 16,634.16 and 6,748 is: 9,311.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,054.40 : 16,634.16 = 6,748 : x
  2. Step 2: Convert to fraction form
    12,054.40/16,634.16 = 6,748/x
  3. Step 3: Cross multiply
    12,054.40x = 16,634.16 × 6,748
  4. Step 4: Simplify right side
    12,054.40x = 112,247,311.68
  5. Step 5: Solve for x
    x = 112,247,311.68/12,054.40
  6. Step 6: Final answer
    x = 9,311.73

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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.