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Finding the Fourth Proportional to 7,737.30, 11,593.80 and 6,692.40

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Solution

The fourth proportional to 7,737.30, 11,593.80 and 6,692.40 is: 10,028.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.30 : 11,593.80 = 6,692.40 : x
  2. Step 2: Convert to fraction form
    7,737.30/11,593.80 = 6,692.40/x
  3. Step 3: Cross multiply
    7,737.30x = 11,593.80 × 6,692.40
  4. Step 4: Simplify right side
    7,737.30x = 77,590,347.12
  5. Step 5: Solve for x
    x = 77,590,347.12/7,737.30
  6. Step 6: Final answer
    x = 10,028.09

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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.