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Finding the Fourth Proportional to 7,792.02, 11,692.08 and 3,412.53

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Solution

The fourth proportional to 7,792.02, 11,692.08 and 3,412.53 is: 5,120.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.02 : 11,692.08 = 3,412.53 : x
  2. Step 2: Convert to fraction form
    7,792.02/11,692.08 = 3,412.53/x
  3. Step 3: Cross multiply
    7,792.02x = 11,692.08 × 3,412.53
  4. Step 4: Simplify right side
    7,792.02x = 39,899,573.76
  5. Step 5: Solve for x
    x = 39,899,573.76/7,792.02
  6. Step 6: Final answer
    x = 5,120.57

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Why These Related Problems?

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