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Finding the Fourth Proportional to 6,993.52, 10,465.12 and 5,140

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Solution

The fourth proportional to 6,993.52, 10,465.12 and 5,140 is: 7,691.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993.52 : 10,465.12 = 5,140 : x
  2. Step 2: Convert to fraction form
    6,993.52/10,465.12 = 5,140/x
  3. Step 3: Cross multiply
    6,993.52x = 10,465.12 × 5,140
  4. Step 4: Simplify right side
    6,993.52x = 53,790,716.80
  5. Step 5: Solve for x
    x = 53,790,716.80/6,993.52
  6. Step 6: Final answer
    x = 7,691.51

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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.