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Finding the Fourth Proportional to 7,110.40, 10,659.84 and 3,212.32

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Solution

The fourth proportional to 7,110.40, 10,659.84 and 3,212.32 is: 4,815.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,110.40 : 10,659.84 = 3,212.32 : x
  2. Step 2: Convert to fraction form
    7,110.40/10,659.84 = 3,212.32/x
  3. Step 3: Cross multiply
    7,110.40x = 10,659.84 × 3,212.32
  4. Step 4: Simplify right side
    7,110.40x = 34,242,817.23
  5. Step 5: Solve for x
    x = 34,242,817.23/7,110.40
  6. Step 6: Final answer
    x = 4,815.88

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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.