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Finding the Fourth Proportional to 12,581.10, 17,361.18 and 7,277.58

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Solution

The fourth proportional to 12,581.10, 17,361.18 and 7,277.58 is: 10,042.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,581.10 : 17,361.18 = 7,277.58 : x
  2. Step 2: Convert to fraction form
    12,581.10/17,361.18 = 7,277.58/x
  3. Step 3: Cross multiply
    12,581.10x = 17,361.18 × 7,277.58
  4. Step 4: Simplify right side
    12,581.10x = 126,347,376.34
  5. Step 5: Solve for x
    x = 126,347,376.34/12,581.10
  6. Step 6: Final answer
    x = 10,042.63

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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.