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Finding the Fourth Proportional to 7,165.67, 10,745.87 and 2,484.47

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Solution

The fourth proportional to 7,165.67, 10,745.87 and 2,484.47 is: 3,725.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.67 : 10,745.87 = 2,484.47 : x
  2. Step 2: Convert to fraction form
    7,165.67/10,745.87 = 2,484.47/x
  3. Step 3: Cross multiply
    7,165.67x = 10,745.87 × 2,484.47
  4. Step 4: Simplify right side
    7,165.67x = 26,697,806.08
  5. Step 5: Solve for x
    x = 26,697,806.08/7,165.67
  6. Step 6: Final answer
    x = 3,725.80

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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.