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Finding the Fourth Proportional to 7,748.52, 10,692.84 and 4,211.82

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Solution

The fourth proportional to 7,748.52, 10,692.84 and 4,211.82 is: 5,812.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748.52 : 10,692.84 = 4,211.82 : x
  2. Step 2: Convert to fraction form
    7,748.52/10,692.84 = 4,211.82/x
  3. Step 3: Cross multiply
    7,748.52x = 10,692.84 × 4,211.82
  4. Step 4: Simplify right side
    7,748.52x = 45,036,317.37
  5. Step 5: Solve for x
    x = 45,036,317.37/7,748.52
  6. Step 6: Final answer
    x = 5,812.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.