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Finding the Fourth Proportional to 7,969.67, 11,954.51 and 3,585.95

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Solution

The fourth proportional to 7,969.67, 11,954.51 and 3,585.95 is: 5,378.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.67 : 11,954.51 = 3,585.95 : x
  2. Step 2: Convert to fraction form
    7,969.67/11,954.51 = 3,585.95/x
  3. Step 3: Cross multiply
    7,969.67x = 11,954.51 × 3,585.95
  4. Step 4: Simplify right side
    7,969.67x = 42,868,197.43
  5. Step 5: Solve for x
    x = 42,868,197.43/7,969.67
  6. Step 6: Final answer
    x = 5,378.92

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Why These Related Problems?

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