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Finding the Fourth Proportional to 6,813.76, 10,211.46 and 3,114.06

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Solution

The fourth proportional to 6,813.76, 10,211.46 and 3,114.06 is: 4,666.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.76 : 10,211.46 = 3,114.06 : x
  2. Step 2: Convert to fraction form
    6,813.76/10,211.46 = 3,114.06/x
  3. Step 3: Cross multiply
    6,813.76x = 10,211.46 × 3,114.06
  4. Step 4: Simplify right side
    6,813.76x = 31,799,099.13
  5. Step 5: Solve for x
    x = 31,799,099.13/6,813.76
  6. Step 6: Final answer
    x = 4,666.89

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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.