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Finding the Fourth Proportional to 7,309.76, 10,962.72 and 2,692.16

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Solution

The fourth proportional to 7,309.76, 10,962.72 and 2,692.16 is: 4,037.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.76 : 10,962.72 = 2,692.16 : x
  2. Step 2: Convert to fraction form
    7,309.76/10,962.72 = 2,692.16/x
  3. Step 3: Cross multiply
    7,309.76x = 10,962.72 × 2,692.16
  4. Step 4: Simplify right side
    7,309.76x = 29,513,396.28
  5. Step 5: Solve for x
    x = 29,513,396.28/7,309.76
  6. Step 6: Final answer
    x = 4,037.53

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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.