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Finding the Fourth Proportional to 7,692.90, 11,539.32 and 2,498.76

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Solution

The fourth proportional to 7,692.90, 11,539.32 and 2,498.76 is: 3,748.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.90 : 11,539.32 = 2,498.76 : x
  2. Step 2: Convert to fraction form
    7,692.90/11,539.32 = 2,498.76/x
  3. Step 3: Cross multiply
    7,692.90x = 11,539.32 × 2,498.76
  4. Step 4: Simplify right side
    7,692.90x = 28,833,991.24
  5. Step 5: Solve for x
    x = 28,833,991.24/7,692.90
  6. Step 6: Final answer
    x = 3,748.13

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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.