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Finding the Fourth Proportional to 8,376.75, 12,565 and 2,833.99

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Solution

The fourth proportional to 8,376.75, 12,565 and 2,833.99 is: 4,250.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,376.75 : 12,565 = 2,833.99 : x
  2. Step 2: Convert to fraction form
    8,376.75/12,565 = 2,833.99/x
  3. Step 3: Cross multiply
    8,376.75x = 12,565 × 2,833.99
  4. Step 4: Simplify right side
    8,376.75x = 35,609,084.35
  5. Step 5: Solve for x
    x = 35,609,084.35/8,376.75
  6. Step 6: Final answer
    x = 4,250.94

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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.