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Finding the Fourth Proportional to 6,312.38, 8,711.08 and 3,661.32

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Solution

The fourth proportional to 6,312.38, 8,711.08 and 3,661.32 is: 5,052.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.38 : 8,711.08 = 3,661.32 : x
  2. Step 2: Convert to fraction form
    6,312.38/8,711.08 = 3,661.32/x
  3. Step 3: Cross multiply
    6,312.38x = 8,711.08 × 3,661.32
  4. Step 4: Simplify right side
    6,312.38x = 31,894,051.43
  5. Step 5: Solve for x
    x = 31,894,051.43/6,312.38
  6. Step 6: Final answer
    x = 5,052.62

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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.