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Finding the Fourth Proportional to 7,692.80, 10,603.62 and 6,011.28

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Solution

The fourth proportional to 7,692.80, 10,603.62 and 6,011.28 is: 8,285.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.80 : 10,603.62 = 6,011.28 : x
  2. Step 2: Convert to fraction form
    7,692.80/10,603.62 = 6,011.28/x
  3. Step 3: Cross multiply
    7,692.80x = 10,603.62 × 6,011.28
  4. Step 4: Simplify right side
    7,692.80x = 63,741,328.83
  5. Step 5: Solve for x
    x = 63,741,328.83/7,692.80
  6. Step 6: Final answer
    x = 8,285.85

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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.