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Finding the Fourth Proportional to 7,128.15, 10,692.24 and 2,449.50

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Solution

The fourth proportional to 7,128.15, 10,692.24 and 2,449.50 is: 3,674.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.15 : 10,692.24 = 2,449.50 : x
  2. Step 2: Convert to fraction form
    7,128.15/10,692.24 = 2,449.50/x
  3. Step 3: Cross multiply
    7,128.15x = 10,692.24 × 2,449.50
  4. Step 4: Simplify right side
    7,128.15x = 26,190,641.88
  5. Step 5: Solve for x
    x = 26,190,641.88/7,128.15
  6. Step 6: Final answer
    x = 3,674.26

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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.