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Finding the Fourth Proportional to 7,639.82, 11,461.45 and 3,478.71

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Solution

The fourth proportional to 7,639.82, 11,461.45 and 3,478.71 is: 5,218.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,639.82 : 11,461.45 = 3,478.71 : x
  2. Step 2: Convert to fraction form
    7,639.82/11,461.45 = 3,478.71/x
  3. Step 3: Cross multiply
    7,639.82x = 11,461.45 × 3,478.71
  4. Step 4: Simplify right side
    7,639.82x = 39,871,060.73
  5. Step 5: Solve for x
    x = 39,871,060.73/7,639.82
  6. Step 6: Final answer
    x = 5,218.85

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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.