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Finding the Fourth Proportional to 7,133.94, 10,692.72 and 2,749.14

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Solution

The fourth proportional to 7,133.94, 10,692.72 and 2,749.14 is: 4,120.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.94 : 10,692.72 = 2,749.14 : x
  2. Step 2: Convert to fraction form
    7,133.94/10,692.72 = 2,749.14/x
  3. Step 3: Cross multiply
    7,133.94x = 10,692.72 × 2,749.14
  4. Step 4: Simplify right side
    7,133.94x = 29,395,784.26
  5. Step 5: Solve for x
    x = 29,395,784.26/7,133.94
  6. Step 6: Final answer
    x = 4,120.55

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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.