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Finding the Fourth Proportional to 12,788.54, 17,644.46 and 7,410.62

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Solution

The fourth proportional to 12,788.54, 17,644.46 and 7,410.62 is: 10,224.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,788.54 : 17,644.46 = 7,410.62 : x
  2. Step 2: Convert to fraction form
    12,788.54/17,644.46 = 7,410.62/x
  3. Step 3: Cross multiply
    12,788.54x = 17,644.46 × 7,410.62
  4. Step 4: Simplify right side
    12,788.54x = 130,756,388.17
  5. Step 5: Solve for x
    x = 130,756,388.17/12,788.54
  6. Step 6: Final answer
    x = 10,224.50

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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.