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Finding the Fourth Proportional to 7,105.30, 10,656.72 and 3,208.80

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Solution

The fourth proportional to 7,105.30, 10,656.72 and 3,208.80 is: 4,812.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.30 : 10,656.72 = 3,208.80 : x
  2. Step 2: Convert to fraction form
    7,105.30/10,656.72 = 3,208.80/x
  3. Step 3: Cross multiply
    7,105.30x = 10,656.72 × 3,208.80
  4. Step 4: Simplify right side
    7,105.30x = 34,195,283.14
  5. Step 5: Solve for x
    x = 34,195,283.14/7,105.30
  6. Step 6: Final answer
    x = 4,812.64

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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.