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Finding the Fourth Proportional to 7,692.92, 11,561.02 and 4,573.48

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Solution

The fourth proportional to 7,692.92, 11,561.02 and 4,573.48 is: 6,873.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.92 : 11,561.02 = 4,573.48 : x
  2. Step 2: Convert to fraction form
    7,692.92/11,561.02 = 4,573.48/x
  3. Step 3: Cross multiply
    7,692.92x = 11,561.02 × 4,573.48
  4. Step 4: Simplify right side
    7,692.92x = 52,874,075.09
  5. Step 5: Solve for x
    x = 52,874,075.09/7,692.92
  6. Step 6: Final answer
    x = 6,873.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.