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Finding the Fourth Proportional to 6,817.84, 10,225.24 and 2,657.96

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Solution

The fourth proportional to 6,817.84, 10,225.24 and 2,657.96 is: 3,986.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.84 : 10,225.24 = 2,657.96 : x
  2. Step 2: Convert to fraction form
    6,817.84/10,225.24 = 2,657.96/x
  3. Step 3: Cross multiply
    6,817.84x = 10,225.24 × 2,657.96
  4. Step 4: Simplify right side
    6,817.84x = 27,178,278.91
  5. Step 5: Solve for x
    x = 27,178,278.91/6,817.84
  6. Step 6: Final answer
    x = 3,986.35

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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.