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Finding the Fourth Proportional to 7,126.64, 10,692.13 and 5,050.66

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Solution

The fourth proportional to 7,126.64, 10,692.13 and 5,050.66 is: 7,577.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,126.64 : 10,692.13 = 5,050.66 : x
  2. Step 2: Convert to fraction form
    7,126.64/10,692.13 = 5,050.66/x
  3. Step 3: Cross multiply
    7,126.64x = 10,692.13 × 5,050.66
  4. Step 4: Simplify right side
    7,126.64x = 54,002,313.31
  5. Step 5: Solve for x
    x = 54,002,313.31/7,126.64
  6. Step 6: Final answer
    x = 7,577.53

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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.