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Finding the Fourth Proportional to 12,872.10, 19,304.91 and 5,080.98

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Solution

The fourth proportional to 12,872.10, 19,304.91 and 5,080.98 is: 7,620.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,872.10 : 19,304.91 = 5,080.98 : x
  2. Step 2: Convert to fraction form
    12,872.10/19,304.91 = 5,080.98/x
  3. Step 3: Cross multiply
    12,872.10x = 19,304.91 × 5,080.98
  4. Step 4: Simplify right side
    12,872.10x = 98,087,861.61
  5. Step 5: Solve for x
    x = 98,087,861.61/12,872.10
  6. Step 6: Final answer
    x = 7,620.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.