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Finding the Fourth Proportional to 7,858.56, 11,770.90 and 3,692.32

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Solution

The fourth proportional to 7,858.56, 11,770.90 and 3,692.32 is: 5,530.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.56 : 11,770.90 = 3,692.32 : x
  2. Step 2: Convert to fraction form
    7,858.56/11,770.90 = 3,692.32/x
  3. Step 3: Cross multiply
    7,858.56x = 11,770.90 × 3,692.32
  4. Step 4: Simplify right side
    7,858.56x = 43,461,929.49
  5. Step 5: Solve for x
    x = 43,461,929.49/7,858.56
  6. Step 6: Final answer
    x = 5,530.52

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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.