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Finding the Fourth Proportional to 12,376.76, 17,078.82 and 7,071.56

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Solution

The fourth proportional to 12,376.76, 17,078.82 and 7,071.56 is: 9,758.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,376.76 : 17,078.82 = 7,071.56 : x
  2. Step 2: Convert to fraction form
    12,376.76/17,078.82 = 7,071.56/x
  3. Step 3: Cross multiply
    12,376.76x = 17,078.82 × 7,071.56
  4. Step 4: Simplify right side
    12,376.76x = 120,773,900.36
  5. Step 5: Solve for x
    x = 120,773,900.36/12,376.76
  6. Step 6: Final answer
    x = 9,758.12

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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.