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Finding the Fourth Proportional to 7,748.49, 10,692.99 and 4,604.07

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Solution

The fourth proportional to 7,748.49, 10,692.99 and 4,604.07 is: 6,353.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748.49 : 10,692.99 = 4,604.07 : x
  2. Step 2: Convert to fraction form
    7,748.49/10,692.99 = 4,604.07/x
  3. Step 3: Cross multiply
    7,748.49x = 10,692.99 × 4,604.07
  4. Step 4: Simplify right side
    7,748.49x = 49,231,274.47
  5. Step 5: Solve for x
    x = 49,231,274.47/7,748.49
  6. Step 6: Final answer
    x = 6,353.66

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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.