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Finding the Fourth Proportional to 12,712.64, 17,539.41 and 7,334.34

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Solution

The fourth proportional to 12,712.64, 17,539.41 and 7,334.34 is: 10,119.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,712.64 : 17,539.41 = 7,334.34 : x
  2. Step 2: Convert to fraction form
    12,712.64/17,539.41 = 7,334.34/x
  3. Step 3: Cross multiply
    12,712.64x = 17,539.41 × 7,334.34
  4. Step 4: Simplify right side
    12,712.64x = 128,639,996.34
  5. Step 5: Solve for x
    x = 128,639,996.34/12,712.64
  6. Step 6: Final answer
    x = 10,119.07

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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.