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Finding the Fourth Proportional to 12,116.16, 16,720.84 and 6,738.72

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Solution

The fourth proportional to 12,116.16, 16,720.84 and 6,738.72 is: 9,299.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,116.16 : 16,720.84 = 6,738.72 : x
  2. Step 2: Convert to fraction form
    12,116.16/16,720.84 = 6,738.72/x
  3. Step 3: Cross multiply
    12,116.16x = 16,720.84 × 6,738.72
  4. Step 4: Simplify right side
    12,116.16x = 112,677,058.92
  5. Step 5: Solve for x
    x = 112,677,058.92/12,116.16
  6. Step 6: Final answer
    x = 9,299.73

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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.