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Finding the Fourth Proportional to 7,143.80, 10,692.36 and 6,461.78

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Solution

The fourth proportional to 7,143.80, 10,692.36 and 6,461.78 is: 9,671.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.80 : 10,692.36 = 6,461.78 : x
  2. Step 2: Convert to fraction form
    7,143.80/10,692.36 = 6,461.78/x
  3. Step 3: Cross multiply
    7,143.80x = 10,692.36 × 6,461.78
  4. Step 4: Simplify right side
    7,143.80x = 69,091,624.54
  5. Step 5: Solve for x
    x = 69,091,624.54/7,143.80
  6. Step 6: Final answer
    x = 9,671.56

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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.