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Finding the Fourth Proportional to 7,114.99, 10,658.20 and 3,546.35

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Solution

The fourth proportional to 7,114.99, 10,658.20 and 3,546.35 is: 5,312.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.99 : 10,658.20 = 3,546.35 : x
  2. Step 2: Convert to fraction form
    7,114.99/10,658.20 = 3,546.35/x
  3. Step 3: Cross multiply
    7,114.99x = 10,658.20 × 3,546.35
  4. Step 4: Simplify right side
    7,114.99x = 37,797,692.03
  5. Step 5: Solve for x
    x = 37,797,692.03/7,114.99
  6. Step 6: Final answer
    x = 5,312.40

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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.