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Finding the Fourth Proportional to 7,122.70, 10,692.15 and 4,202.65

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Solution

The fourth proportional to 7,122.70, 10,692.15 and 4,202.65 is: 6,308.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.70 : 10,692.15 = 4,202.65 : x
  2. Step 2: Convert to fraction form
    7,122.70/10,692.15 = 4,202.65/x
  3. Step 3: Cross multiply
    7,122.70x = 10,692.15 × 4,202.65
  4. Step 4: Simplify right side
    7,122.70x = 44,935,364.20
  5. Step 5: Solve for x
    x = 44,935,364.20/7,122.70
  6. Step 6: Final answer
    x = 6,308.75

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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.