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Finding the Fourth Proportional to 7,748.34, 10,692.63 and 4,211.52

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Solution

The fourth proportional to 7,748.34, 10,692.63 and 4,211.52 is: 5,811.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748.34 : 10,692.63 = 4,211.52 : x
  2. Step 2: Convert to fraction form
    7,748.34/10,692.63 = 4,211.52/x
  3. Step 3: Cross multiply
    7,748.34x = 10,692.63 × 4,211.52
  4. Step 4: Simplify right side
    7,748.34x = 45,032,225.10
  5. Step 5: Solve for x
    x = 45,032,225.10/7,748.34
  6. Step 6: Final answer
    x = 5,811.85

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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.