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Finding the Fourth Proportional to 7,965.99, 10,993.46 and 4,429.13

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Solution

The fourth proportional to 7,965.99, 10,993.46 and 4,429.13 is: 6,112.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,965.99 : 10,993.46 = 4,429.13 : x
  2. Step 2: Convert to fraction form
    7,965.99/10,993.46 = 4,429.13/x
  3. Step 3: Cross multiply
    7,965.99x = 10,993.46 × 4,429.13
  4. Step 4: Simplify right side
    7,965.99x = 48,691,386.38
  5. Step 5: Solve for x
    x = 48,691,386.38/7,965.99
  6. Step 6: Final answer
    x = 6,112.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.