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Finding the Fourth Proportional to 6,874.07, 10,315.00 and 3,711.46

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Solution

The fourth proportional to 6,874.07, 10,315.00 and 3,711.46 is: 5,569.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.07 : 10,315.00 = 3,711.46 : x
  2. Step 2: Convert to fraction form
    6,874.07/10,315.00 = 3,711.46/x
  3. Step 3: Cross multiply
    6,874.07x = 10,315.00 × 3,711.46
  4. Step 4: Simplify right side
    6,874.07x = 38,283,722.28
  5. Step 5: Solve for x
    x = 38,283,722.28/6,874.07
  6. Step 6: Final answer
    x = 5,569.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.