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Finding the Fourth Proportional to 12,410.12, 17,125.62 and 6,744.62

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Solution

The fourth proportional to 12,410.12, 17,125.62 and 6,744.62 is: 9,307.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,410.12 : 17,125.62 = 6,744.62 : x
  2. Step 2: Convert to fraction form
    12,410.12/17,125.62 = 6,744.62/x
  3. Step 3: Cross multiply
    12,410.12x = 17,125.62 × 6,744.62
  4. Step 4: Simplify right side
    12,410.12x = 115,505,799.16
  5. Step 5: Solve for x
    x = 115,505,799.16/12,410.12
  6. Step 6: Final answer
    x = 9,307.39

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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.