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Finding the Fourth Proportional to 6,710.84, 10,056.53 and 3,782.90

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Solution

The fourth proportional to 6,710.84, 10,056.53 and 3,782.90 is: 5,668.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.84 : 10,056.53 = 3,782.90 : x
  2. Step 2: Convert to fraction form
    6,710.84/10,056.53 = 3,782.90/x
  3. Step 3: Cross multiply
    6,710.84x = 10,056.53 × 3,782.90
  4. Step 4: Simplify right side
    6,710.84x = 38,042,847.34
  5. Step 5: Solve for x
    x = 38,042,847.34/6,710.84
  6. Step 6: Final answer
    x = 5,668.87

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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.