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Finding the Fourth Proportional to 8,047.50, 11,105.61 and 4,692.63

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Solution

The fourth proportional to 8,047.50, 11,105.61 and 4,692.63 is: 6,475.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.50 : 11,105.61 = 4,692.63 : x
  2. Step 2: Convert to fraction form
    8,047.50/11,105.61 = 4,692.63/x
  3. Step 3: Cross multiply
    8,047.50x = 11,105.61 × 4,692.63
  4. Step 4: Simplify right side
    8,047.50x = 52,114,518.65
  5. Step 5: Solve for x
    x = 52,114,518.65/8,047.50
  6. Step 6: Final answer
    x = 6,475.86

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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.