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Finding the Fourth Proportional to 7,213.40, 10,814.10 and 3,056.60

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Solution

The fourth proportional to 7,213.40, 10,814.10 and 3,056.60 is: 4,582.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.40 : 10,814.10 = 3,056.60 : x
  2. Step 2: Convert to fraction form
    7,213.40/10,814.10 = 3,056.60/x
  3. Step 3: Cross multiply
    7,213.40x = 10,814.10 × 3,056.60
  4. Step 4: Simplify right side
    7,213.40x = 33,054,378.06
  5. Step 5: Solve for x
    x = 33,054,378.06/7,213.40
  6. Step 6: Final answer
    x = 4,582.36

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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.