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Finding the Fourth Proportional to 12,412.54, 17,129.12 and 6,747.25

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Solution

The fourth proportional to 12,412.54, 17,129.12 and 6,747.25 is: 9,311.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,412.54 : 17,129.12 = 6,747.25 : x
  2. Step 2: Convert to fraction form
    12,412.54/17,129.12 = 6,747.25/x
  3. Step 3: Cross multiply
    12,412.54x = 17,129.12 × 6,747.25
  4. Step 4: Simplify right side
    12,412.54x = 115,574,448.43
  5. Step 5: Solve for x
    x = 115,574,448.43/12,412.54
  6. Step 6: Final answer
    x = 9,311.10

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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.