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Finding the Fourth Proportional to 10,692.76, 16,039.13 and 4,768.12

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Solution

The fourth proportional to 10,692.76, 16,039.13 and 4,768.12 is: 7,152.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.76 : 16,039.13 = 4,768.12 : x
  2. Step 2: Convert to fraction form
    10,692.76/16,039.13 = 4,768.12/x
  3. Step 3: Cross multiply
    10,692.76x = 16,039.13 × 4,768.12
  4. Step 4: Simplify right side
    10,692.76x = 76,476,496.54
  5. Step 5: Solve for x
    x = 76,476,496.54/10,692.76
  6. Step 6: Final answer
    x = 7,152.18

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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.