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Finding the Fourth Proportional to 10,692.48, 14,757.12 and 7,717.92

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Solution

The fourth proportional to 10,692.48, 14,757.12 and 7,717.92 is: 10,651.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.48 : 14,757.12 = 7,717.92 : x
  2. Step 2: Convert to fraction form
    10,692.48/14,757.12 = 7,717.92/x
  3. Step 3: Cross multiply
    10,692.48x = 14,757.12 × 7,717.92
  4. Step 4: Simplify right side
    10,692.48x = 113,894,271.59
  5. Step 5: Solve for x
    x = 113,894,271.59/10,692.48
  6. Step 6: Final answer
    x = 10,651.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.