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Finding the Fourth Proportional to 8,378.28, 12,561.94 and 4,212.04

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Solution

The fourth proportional to 8,378.28, 12,561.94 and 4,212.04 is: 6,315.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.28 : 12,561.94 = 4,212.04 : x
  2. Step 2: Convert to fraction form
    8,378.28/12,561.94 = 4,212.04/x
  3. Step 3: Cross multiply
    8,378.28x = 12,561.94 × 4,212.04
  4. Step 4: Simplify right side
    8,378.28x = 52,911,393.76
  5. Step 5: Solve for x
    x = 52,911,393.76/8,378.28
  6. Step 6: Final answer
    x = 6,315.31

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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.