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Finding the Fourth Proportional to 7,102.92, 10,692.75 and 6,388.50

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Solution

The fourth proportional to 7,102.92, 10,692.75 and 6,388.50 is: 9,617.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.92 : 10,692.75 = 6,388.50 : x
  2. Step 2: Convert to fraction form
    7,102.92/10,692.75 = 6,388.50/x
  3. Step 3: Cross multiply
    7,102.92x = 10,692.75 × 6,388.50
  4. Step 4: Simplify right side
    7,102.92x = 68,310,633.38
  5. Step 5: Solve for x
    x = 68,310,633.38/7,102.92
  6. Step 6: Final answer
    x = 9,617.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.