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Finding the Fourth Proportional to 8,274.18, 12,407.30 and 3,210.72

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Solution

The fourth proportional to 8,274.18, 12,407.30 and 3,210.72 is: 4,814.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.18 : 12,407.30 = 3,210.72 : x
  2. Step 2: Convert to fraction form
    8,274.18/12,407.30 = 3,210.72/x
  3. Step 3: Cross multiply
    8,274.18x = 12,407.30 × 3,210.72
  4. Step 4: Simplify right side
    8,274.18x = 39,836,366.26
  5. Step 5: Solve for x
    x = 39,836,366.26/8,274.18
  6. Step 6: Final answer
    x = 4,814.54

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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.