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Finding the Fourth Proportional to 7,692.84, 11,531.97 and 3,307.50

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Solution

The fourth proportional to 7,692.84, 11,531.97 and 3,307.50 is: 4,958.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.84 : 11,531.97 = 3,307.50 : x
  2. Step 2: Convert to fraction form
    7,692.84/11,531.97 = 3,307.50/x
  3. Step 3: Cross multiply
    7,692.84x = 11,531.97 × 3,307.50
  4. Step 4: Simplify right side
    7,692.84x = 38,141,990.78
  5. Step 5: Solve for x
    x = 38,141,990.78/7,692.84
  6. Step 6: Final answer
    x = 4,958.12

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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.