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Finding the Fourth Proportional to 8,037.36, 12,045.78 and 6,993

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Solution

The fourth proportional to 8,037.36, 12,045.78 and 6,993 is: 10,480.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037.36 : 12,045.78 = 6,993 : x
  2. Step 2: Convert to fraction form
    8,037.36/12,045.78 = 6,993/x
  3. Step 3: Cross multiply
    8,037.36x = 12,045.78 × 6,993
  4. Step 4: Simplify right side
    8,037.36x = 84,236,139.54
  5. Step 5: Solve for x
    x = 84,236,139.54/8,037.36
  6. Step 6: Final answer
    x = 10,480.57

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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.