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Finding the Fourth Proportional to 8,825.63, 13,241.48 and 4,932.77

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Solution

The fourth proportional to 8,825.63, 13,241.48 and 4,932.77 is: 7,400.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,825.63 : 13,241.48 = 4,932.77 : x
  2. Step 2: Convert to fraction form
    8,825.63/13,241.48 = 4,932.77/x
  3. Step 3: Cross multiply
    8,825.63x = 13,241.48 × 4,932.77
  4. Step 4: Simplify right side
    8,825.63x = 65,317,084.43
  5. Step 5: Solve for x
    x = 65,317,084.43/8,825.63
  6. Step 6: Final answer
    x = 7,400.85

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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.