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Finding the Fourth Proportional to 8,170.46, 11,277.54 and 4,815.21

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Solution

The fourth proportional to 8,170.46, 11,277.54 and 4,815.21 is: 6,646.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,170.46 : 11,277.54 = 4,815.21 : x
  2. Step 2: Convert to fraction form
    8,170.46/11,277.54 = 4,815.21/x
  3. Step 3: Cross multiply
    8,170.46x = 11,277.54 × 4,815.21
  4. Step 4: Simplify right side
    8,170.46x = 54,303,723.38
  5. Step 5: Solve for x
    x = 54,303,723.38/8,170.46
  6. Step 6: Final answer
    x = 6,646.35

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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.