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Finding the Fourth Proportional to 7,969.77, 11,950.50 and 3,583.47

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Solution

The fourth proportional to 7,969.77, 11,950.50 and 3,583.47 is: 5,373.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.77 : 11,950.50 = 3,583.47 : x
  2. Step 2: Convert to fraction form
    7,969.77/11,950.50 = 3,583.47/x
  3. Step 3: Cross multiply
    7,969.77x = 11,950.50 × 3,583.47
  4. Step 4: Simplify right side
    7,969.77x = 42,824,258.24
  5. Step 5: Solve for x
    x = 42,824,258.24/7,969.77
  6. Step 6: Final answer
    x = 5,373.34

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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.