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Finding the Fourth Proportional to 7,105.64, 10,656.15 and 3,356.84

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Solution

The fourth proportional to 7,105.64, 10,656.15 and 3,356.84 is: 5,034.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.64 : 10,656.15 = 3,356.84 : x
  2. Step 2: Convert to fraction form
    7,105.64/10,656.15 = 3,356.84/x
  3. Step 3: Cross multiply
    7,105.64x = 10,656.15 × 3,356.84
  4. Step 4: Simplify right side
    7,105.64x = 35,770,990.57
  5. Step 5: Solve for x
    x = 35,770,990.57/7,105.64
  6. Step 6: Final answer
    x = 5,034.17

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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.