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Finding the Fourth Proportional to 8,941, 13,412.24 and 2,785

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Solution

The fourth proportional to 8,941, 13,412.24 and 2,785 is: 4,177.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,941 : 13,412.24 = 2,785 : x
  2. Step 2: Convert to fraction form
    8,941/13,412.24 = 2,785/x
  3. Step 3: Cross multiply
    8,941x = 13,412.24 × 2,785
  4. Step 4: Simplify right side
    8,941x = 37,353,088.40
  5. Step 5: Solve for x
    x = 37,353,088.40/8,941
  6. Step 6: Final answer
    x = 4,177.73

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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.