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Finding the Fourth Proportional to 7,136.30, 10,699.65 and 3,238.70

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Solution

The fourth proportional to 7,136.30, 10,699.65 and 3,238.70 is: 4,855.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.30 : 10,699.65 = 3,238.70 : x
  2. Step 2: Convert to fraction form
    7,136.30/10,699.65 = 3,238.70/x
  3. Step 3: Cross multiply
    7,136.30x = 10,699.65 × 3,238.70
  4. Step 4: Simplify right side
    7,136.30x = 34,652,956.46
  5. Step 5: Solve for x
    x = 34,652,956.46/7,136.30
  6. Step 6: Final answer
    x = 4,855.87

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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.