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Finding the Fourth Proportional to 7,648.41, 11,468.73 and 2,969.76

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Solution

The fourth proportional to 7,648.41, 11,468.73 and 2,969.76 is: 4,453.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.41 : 11,468.73 = 2,969.76 : x
  2. Step 2: Convert to fraction form
    7,648.41/11,468.73 = 2,969.76/x
  3. Step 3: Cross multiply
    7,648.41x = 11,468.73 × 2,969.76
  4. Step 4: Simplify right side
    7,648.41x = 34,059,375.60
  5. Step 5: Solve for x
    x = 34,059,375.60/7,648.41
  6. Step 6: Final answer
    x = 4,453.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.