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Finding the Fourth Proportional to 7,212.40, 10,842.90 and 6,143.20

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Solution

The fourth proportional to 7,212.40, 10,842.90 and 6,143.20 is: 9,235.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,212.40 : 10,842.90 = 6,143.20 : x
  2. Step 2: Convert to fraction form
    7,212.40/10,842.90 = 6,143.20/x
  3. Step 3: Cross multiply
    7,212.40x = 10,842.90 × 6,143.20
  4. Step 4: Simplify right side
    7,212.40x = 66,610,103.28
  5. Step 5: Solve for x
    x = 66,610,103.28/7,212.40
  6. Step 6: Final answer
    x = 9,235.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.