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Finding the Fourth Proportional to 7,112.30, 10,667.22 and 3,215.80

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Solution

The fourth proportional to 7,112.30, 10,667.22 and 3,215.80 is: 4,823.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.30 : 10,667.22 = 3,215.80 : x
  2. Step 2: Convert to fraction form
    7,112.30/10,667.22 = 3,215.80/x
  3. Step 3: Cross multiply
    7,112.30x = 10,667.22 × 3,215.80
  4. Step 4: Simplify right side
    7,112.30x = 34,303,646.08
  5. Step 5: Solve for x
    x = 34,303,646.08/7,112.30
  6. Step 6: Final answer
    x = 4,823.14

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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.