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Finding the Fourth Proportional to 7,138.88, 10,709.36 and 2,208.96

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Solution

The fourth proportional to 7,138.88, 10,709.36 and 2,208.96 is: 3,313.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.88 : 10,709.36 = 2,208.96 : x
  2. Step 2: Convert to fraction form
    7,138.88/10,709.36 = 2,208.96/x
  3. Step 3: Cross multiply
    7,138.88x = 10,709.36 × 2,208.96
  4. Step 4: Simplify right side
    7,138.88x = 23,656,547.87
  5. Step 5: Solve for x
    x = 23,656,547.87/7,138.88
  6. Step 6: Final answer
    x = 3,313.76

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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.