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Finding the Fourth Proportional to 8,676, 11,975.04 and 4,952.16

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Solution

The fourth proportional to 8,676, 11,975.04 and 4,952.16 is: 6,835.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,676 : 11,975.04 = 4,952.16 : x
  2. Step 2: Convert to fraction form
    8,676/11,975.04 = 4,952.16/x
  3. Step 3: Cross multiply
    8,676x = 11,975.04 × 4,952.16
  4. Step 4: Simplify right side
    8,676x = 59,302,314.09
  5. Step 5: Solve for x
    x = 59,302,314.09/8,676
  6. Step 6: Final answer
    x = 6,835.21

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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.