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Finding the Fourth Proportional to 7,212.12, 10,813.14 and 3,314.40

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Solution

The fourth proportional to 7,212.12, 10,813.14 and 3,314.40 is: 4,969.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,212.12 : 10,813.14 = 3,314.40 : x
  2. Step 2: Convert to fraction form
    7,212.12/10,813.14 = 3,314.40/x
  3. Step 3: Cross multiply
    7,212.12x = 10,813.14 × 3,314.40
  4. Step 4: Simplify right side
    7,212.12x = 35,839,071.22
  5. Step 5: Solve for x
    x = 35,839,071.22/7,212.12
  6. Step 6: Final answer
    x = 4,969.28

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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.