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Finding the Fourth Proportional to 7,228.20, 10,842.30 and 6,742.20

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Solution

The fourth proportional to 7,228.20, 10,842.30 and 6,742.20 is: 10,113.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.20 : 10,842.30 = 6,742.20 : x
  2. Step 2: Convert to fraction form
    7,228.20/10,842.30 = 6,742.20/x
  3. Step 3: Cross multiply
    7,228.20x = 10,842.30 × 6,742.20
  4. Step 4: Simplify right side
    7,228.20x = 73,100,955.06
  5. Step 5: Solve for x
    x = 73,100,955.06/7,228.20
  6. Step 6: Final answer
    x = 10,113.30

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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.