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Finding the Fourth Proportional to 7,692.60, 11,531.52 and 4,911.42

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Solution

The fourth proportional to 7,692.60, 11,531.52 and 4,911.42 is: 7,362.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.60 : 11,531.52 = 4,911.42 : x
  2. Step 2: Convert to fraction form
    7,692.60/11,531.52 = 4,911.42/x
  3. Step 3: Cross multiply
    7,692.60x = 11,531.52 × 4,911.42
  4. Step 4: Simplify right side
    7,692.60x = 56,636,137.96
  5. Step 5: Solve for x
    x = 56,636,137.96/7,692.60
  6. Step 6: Final answer
    x = 7,362.42

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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.