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Finding the Fourth Proportional to 6,842.40, 10,256.76 and 3,143.04

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Solution

The fourth proportional to 6,842.40, 10,256.76 and 3,143.04 is: 4,711.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.40 : 10,256.76 = 3,143.04 : x
  2. Step 2: Convert to fraction form
    6,842.40/10,256.76 = 3,143.04/x
  3. Step 3: Cross multiply
    6,842.40x = 10,256.76 × 3,143.04
  4. Step 4: Simplify right side
    6,842.40x = 32,237,406.95
  5. Step 5: Solve for x
    x = 32,237,406.95/6,842.40
  6. Step 6: Final answer
    x = 4,711.42

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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.