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Finding the Fourth Proportional to 12,951.12, 17,872.57 and 7,646.28

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Solution

The fourth proportional to 12,951.12, 17,872.57 and 7,646.28 is: 10,551.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,951.12 : 17,872.57 = 7,646.28 : x
  2. Step 2: Convert to fraction form
    12,951.12/17,872.57 = 7,646.28/x
  3. Step 3: Cross multiply
    12,951.12x = 17,872.57 × 7,646.28
  4. Step 4: Simplify right side
    12,951.12x = 136,658,620.27
  5. Step 5: Solve for x
    x = 136,658,620.27/12,951.12
  6. Step 6: Final answer
    x = 10,551.88

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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.