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Finding the Fourth Proportional to 8,835.75, 12,193.62 and 4,857.15

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Solution

The fourth proportional to 8,835.75, 12,193.62 and 4,857.15 is: 6,703.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,835.75 : 12,193.62 = 4,857.15 : x
  2. Step 2: Convert to fraction form
    8,835.75/12,193.62 = 4,857.15/x
  3. Step 3: Cross multiply
    8,835.75x = 12,193.62 × 4,857.15
  4. Step 4: Simplify right side
    8,835.75x = 59,226,241.38
  5. Step 5: Solve for x
    x = 59,226,241.38/8,835.75
  6. Step 6: Final answer
    x = 6,703.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.