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Finding the Fourth Proportional to 12,725.88, 17,560.10 and 7,419.38

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Solution

The fourth proportional to 12,725.88, 17,560.10 and 7,419.38 is: 10,237.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,725.88 : 17,560.10 = 7,419.38 : x
  2. Step 2: Convert to fraction form
    12,725.88/17,560.10 = 7,419.38/x
  3. Step 3: Cross multiply
    12,725.88x = 17,560.10 × 7,419.38
  4. Step 4: Simplify right side
    12,725.88x = 130,285,054.74
  5. Step 5: Solve for x
    x = 130,285,054.74/12,725.88
  6. Step 6: Final answer
    x = 10,237.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.