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Finding the Fourth Proportional to 7,138.08, 10,710 and 3,238.56

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Solution

The fourth proportional to 7,138.08, 10,710 and 3,238.56 is: 4,859.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.08 : 10,710 = 3,238.56 : x
  2. Step 2: Convert to fraction form
    7,138.08/10,710 = 3,238.56/x
  3. Step 3: Cross multiply
    7,138.08x = 10,710 × 3,238.56
  4. Step 4: Simplify right side
    7,138.08x = 34,684,977.60
  5. Step 5: Solve for x
    x = 34,684,977.60/7,138.08
  6. Step 6: Final answer
    x = 4,859.15

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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.