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Finding the Fourth Proportional to 7,756.84, 11,640.90 and 5,814.28

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Solution

The fourth proportional to 7,756.84, 11,640.90 and 5,814.28 is: 8,725.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.84 : 11,640.90 = 5,814.28 : x
  2. Step 2: Convert to fraction form
    7,756.84/11,640.90 = 5,814.28/x
  3. Step 3: Cross multiply
    7,756.84x = 11,640.90 × 5,814.28
  4. Step 4: Simplify right side
    7,756.84x = 67,683,452.05
  5. Step 5: Solve for x
    x = 67,683,452.05/7,756.84
  6. Step 6: Final answer
    x = 8,725.65

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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.